* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 143 additional inputs, on iter 1 have 113 / 256 * * * * [misc]points: Computing exacts on every 8 of 143 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 143 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 143 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 143 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 83 additional inputs, on iter 2 have 173 / 256 * * * * [misc]points: Computing exacts on every 5 of 83 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 83 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 83 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 48 additional inputs, on iter 3 have 208 / 256 * * * * [misc]points: Computing exacts on every 3 of 48 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 48 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 34 additional inputs, on iter 4 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 5 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (- 1 (pow b 4))) into (- (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (* 12 (pow b 2)) (- (pow b 4) 1)) into (- (+ (pow b 4) (* 12 (pow b 2))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (* 12 (pow b 2))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 4 (* 2 (pow b 2))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (+ a 3) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (pow b 2) a)) (* 3 (pow (* b 1) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a)))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (+ (* 0 0) (* 0 0)))) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (* 1 a) 3)) (+ (* 3 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (+ (* -1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a)))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a))))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (exp (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * [exit]simplify: Simplified to (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 4) (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (- 1 (pow a 3)) (* a a))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (pow (+ (* a a) (* b b)) 3) (pow (+ (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 4) (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (- 1 (pow a 3)) (* a a))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (pow (+ (* a a) (* b b)) 3) (pow (+ (* a a) (* b b)) 3))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (+ (pow (+ (* b b) (* a a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) 4) (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (- 1 (pow a 3)) (* a a))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (pow (+ (* a a) (* b b)) 3) (pow (+ (* a a) (* b b)) 3))))) (* (+ (pow (+ (* b b) (* a a)) 4) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* b b) (* (+ (pow a 3) 27) (+ (* a a) (+ a 1)))) (* (* (* a a) (- 1 (pow a 3))) (+ (* a a) (* 3 (- 3 a))))) (+ 4 (* 4 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* b b) (* (+ (pow a 3) 27) (+ (* a a) (+ a 1)))) (* (* (* a a) (- 1 (pow a 3))) (+ (* a a) (* 3 (- 3 a))))) (+ 4 (* 4 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* b b) (* (+ (pow a 3) 27) (+ (* a a) (+ a 1)))) (* (* (* a a) (- 1 (pow a 3))) (+ (* a a) (* 3 (- 3 a))))) (+ 4 (* 4 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (495 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* 4 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (pow (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* 4 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (pow (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 3)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (pow (+ (* b b) (* a a)) 4) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* 4 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (pow (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 3)))) (+ (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (pow (+ (* b b) (* a a)) 4) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) 4)))) (* (- 1 (pow (+ (* b b) (* a a)) 4)) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) 4)))) (* (- 1 (pow (+ (* b b) (* a a)) 4)) (* (+ a 1) (- 9 (* a (- 3 a)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (- 1 (* a a)) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (+ 4 (* (+ (* b b) (* a a)) (* (+ (* b b) (* a a)) 4)))) (* (- 1 (pow (+ (* b b) (* a a)) 4)) (* (+ a 1) (- 9 (* a (- 3 a)))))) (* (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (- (* (+ (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ (* a a) -9) (* (+ (+ 1 a) (* a a)) (* b b)))) 4)) (* (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ (* a a) -9) (* (+ (+ 1 a) (* a a)) (* b b)))) 4)) (* (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (+ (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ (* a a) -9) (* (+ (+ 1 a) (* a a)) (* b b)))) 4)) (* (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (+ (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1))))) * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (+ a -3) (* a a)) (- 1 (pow a 3))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (* a a) 9))) (+ 4 (* (* 4 (+ (* a a) (* b b))) (+ (* a a) (* b b))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (+ (* a a) (+ a 1)) (+ a -3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (+ a -3) (* a a)) (- 1 (pow a 3))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (* a a) 9))) (+ 4 (* (* 4 (+ (* a a) (* b b))) (+ (* a a) (* b b))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ -3 a) (+ (* a a) (+ 1 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (+ a -3) (* a a)) (- 1 (pow a 3))) (* (* (* b b) (+ (* a a) (+ a 1))) (- (* a a) 9))) (+ 4 (* (* 4 (+ (* a a) (* b b))) (+ (* a a) (* b b))))) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (+ (* (* (+ -3 a) (+ (* a a) (+ 1 a))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* (+ -3 a) (+ (* a a) (+ 1 a)))))) * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (pow (+ (* b b) (* a a)) 4) 1) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (* (+ -3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) 4)) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (* (+ -3 a) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (pow (+ (* b b) (* a a)) 4) 1) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (* (+ -3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) 4)) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (* (+ -3 a) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 a) (+ -3 a)) (* (* (* (+ 1 a) (+ -3 a)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (+ (pow (+ (* b b) (* a a)) 4) 1) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (* (+ -3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) 4)) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (* (+ -3 a) (+ a 1)))) (+ (* (+ 1 a) (+ -3 a)) (* (* (* (+ 1 a) (+ -3 a)) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (* (- a 3) (+ 1 a)) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (* (+ 1 a) (+ a -3)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (- 1 (* a a)) (* (- a 3) (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) (* (- 1 (pow (+ (* a a) (* b b)) 4)) (* (- a 3) (+ a 1)))) (* (* (+ 1 a) (+ a -3)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) 1)))) * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (- (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (+ (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (+ (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (+ (pow (+ (* a a) (* b b)) 4) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) (* (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))) (+ (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))))) (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (+ (pow (+ (* a a) (* b b)) 4) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (pow (+ (* b b) (* a a)) 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* b b) (+ 3 a)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a)))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (pow (+ (* b b) (* a a)) 4))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (pow (+ (* b b) (* a a)) 4))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) (* 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (+ (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) 4)) (+ (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (pow (+ (* b b) (* a a)) 4))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (* (pow (+ (* b b) (* a a)) 3) (pow (+ (* b b) (* a a)) 3))))) (+ (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))))) * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* 1 1) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* b b) (* a a)) 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ 1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (* (+ (* (- 1 a) (* a a)) (* (* b b) (+ 3 a))) 4)) (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (- (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (- 1 (pow (+ (* b b) (* a a)) 4)))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)))) * * * * [misc]progress: [ 20 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (* b b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (pow (* (* b b) (+ 3 a)) 1) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ a 3)) (log (* b b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (+ 3 a)) (log (* b b))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (exp (+ (log (+ 3 a)) (log (* b b)))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (cbrt (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3)))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a 3)) (cbrt (+ a 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) (* (cbrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (sqrt (+ 3 a)) (* (sqrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow a 3) (pow 3 3)) (* b b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 27 (pow a 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ 27 (pow a 3))) (+ (* a a) (- (* 3 3) (* a 3)))) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 43 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* a a) (* 3 3)) (* b b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) -9)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ (* a a) -9)) (- a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 44 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (+ a 3) (* b b))) (exp (* (- 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (exp (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (log (exp (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 46 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (* b b) (+ (+ a 1) (* a a))) (+ 27 (pow a 3))) (* (* (- 1 (pow a 3)) (* a a)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (* (* b b) (+ (+ a 1) (* a a))) (+ 27 (pow a 3))) (* (* (- 1 (pow a 3)) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (+ (+ a 1) (* a a)) (- 9 (* (- 3 a) a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (* (* b b) (+ (+ a 1) (* a a))) (+ 27 (pow a 3))) (* (* (- 1 (pow a 3)) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ a 1) (* a a)) (- 9 (* (- 3 a) a)))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (* a a)) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ 27 (pow a 3)) (* (* b b) (+ a 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (* (- 1 (* a a)) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ 27 (pow a 3)) (* (* b b) (+ a 1)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (+ 9 (* a (+ a -3))) (+ a 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (* (- 1 (* a a)) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ 27 (pow a 3)) (* (* b b) (+ a 1)))) (* (+ 9 (* a (+ a -3))) (+ a 1))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (pow a 3)) (* (* a a) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (* b b)) (+ (* a a) -9))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (- 1 (pow a 3)) (* (* a a) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (* b b)) (+ (* a a) -9))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (* (+ -3 a) (+ (+ 1 a) (* a a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (- 1 (pow a 3)) (* (* a a) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (* b b)) (+ (* a a) -9))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) (* (- a 3) (+ 1 a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * [enter]simplify: Simplifying (* (- a 3) (+ 1 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ 1 a) (+ -3 a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) (* (+ 1 a) (+ -3 a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (+ (* a a) (* b b)) (+ 1 1))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (+ (* a a) (* b b)) 2)))) * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1)))) * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (pow (+ (* a a) (* b b)) (+ 1 1))))) * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (exp (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))))))) * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (cbrt (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3))))) * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))))))) * * * * [misc]progress: [ 73 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))))))) * * * * [misc]progress: [ 74 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))))))) * [enter]simplify: Simplifying (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (+ (pow a 4) (pow b 4)) (* (* a b) (* a b)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (+ (pow a 4) (pow b 4)) (* (* a b) (* a b)))))))) * * * * [misc]progress: [ 75 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * [enter]simplify: Simplifying (* (- (* a a) (* b b)) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (* a a) (* b b))))))) * * * * [misc]progress: [ 76 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (* b b)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (* (+ (* a a) (* b b)) (* a a)) (* (* b b) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 78 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* b b) (* a a))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (+ (* b b) (* a a))))))) * * * * [misc]progress: [ 79 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (+ (* a a) (* b b)) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (cbrt (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 80 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 81 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (+ (* a a) (* b b)) 1) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 82 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))))) * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a a) (* b b)) (+ (pow (* a a) 3) (pow (* b b) 3))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))))))) * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a a) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ a b) (- a b)))))) * * * * [misc]progress: [ 87 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 88 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (/ (* (+ (* a a) (* b b)) (- (pow a 4) (pow b 4))) (- (* a a) (* b b)))))) * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (- (* (* 12 b) b) (* (* -4 a) a)) 1) * [misc]simplify: Simplified (2) to (λ (a b) (- (- (* (* 12 b) b) (* (* -4 a) a)) 1)) * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 95 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 96 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (* (- 1 a) (* a a)) (* 3 (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* (- 1 a) (* a a)) (* 3 (* b b))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 97 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 98 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) * * * * [misc]progress: [ 99 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))))) * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (- 1 (pow b 4))) into (- (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (* 12 (pow b 2)) (- (pow b 4) 1)) into (- (+ (pow b 4) (* 12 (pow b 2))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (* 12 (pow b 2))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 4 (* 2 (pow b 2))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (+ a 3) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (pow b 2) a)) (* 3 (pow (* b 1) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ -1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a)))))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (+ (* 0 0) (* 0 0)))) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (* 1 a) 3)) (+ (* 3 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (+ (* -1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a)))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a))))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (pow (* a b) 2)) (pow a 4)))))) * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4)))))) * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4)))))) * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log b) (log a))))) (pow a 4)))))) * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* (+ (log b) (log a)) 2))) (pow a 4)))))) * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))) (pow a 4)))))) * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 2 2 2 1 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))) (pow a 4)))))) * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 2 2 2 1 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))) (pow a 4)))))) * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 2 2 2 1 2 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) 1) (* b b))) (pow a 4)))))) * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))) (pow a 4)))))) * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 2 2 2 1 2 1) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))) (pow a 4)))))) * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (exp (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) 2)))))) * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* (- 1 (pow (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) 3)) (* (+ (* (- 3 a) 3) (* a a)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* (- 1 (pow (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) 3)) (* (+ (* (- 3 a) 3) (* a a)) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (* 2 (* (* b b) (* a a))) (pow b 4)) (pow a 4)) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) (+ (* (+ (+ (* 2 (* (* b b) (* a a))) (pow b 4)) (pow a 4)) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* a a) (- 1 (pow a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) 4)) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* a a) (- 1 (pow a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) 4)) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* a a) (- 1 (pow a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) 4)) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- 1 (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) 4) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- 1 (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) 4) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- 1 (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) 4) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (+ (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* a a) (* b b)))) 4) (+ (* (* (* a a) (- 1 (* a a))) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (+ a 1) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* a a) (* b b)))) 4) (+ (* (* (* a a) (- 1 (* a a))) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (+ a 1) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 b) b) (* a a))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* a a) (* b b)))) 4) (+ (* (* (* a a) (- 1 (* a a))) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (+ a 1) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 b) b) (* a a))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) 3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (+ -3 a) (+ (+ 1 a) (* a a))) (* (+ (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (pow b 4)) (* (+ (* (* a (* 2 a)) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ -3 a) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) 3)))) (+ (* (+ -3 a) (+ (+ 1 a) (* a a))) (* (+ (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (pow b 4)) (* (+ (* (* a (* 2 a)) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ -3 a) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ -9 (* a a)) (* (* b b) (+ (* a a) (+ a 1))))) (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) 4)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (- 1 (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ -9 (* a a)) (* (* b b) (+ (* a a) (+ a 1))))) (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) 4)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (- 1 (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (- a 3) (* (+ (* a a) a) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ -9 (* a a)) (* (* b b) (+ (* a a) (+ a 1))))) (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) 4)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (- 1 (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))))))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (- a 3) (* (+ (* a a) a) (- a 3)))))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4))) (* (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4)))))) (* (- 1 (pow (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) 3)) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (+ (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4))) (* (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4)))))) (* (- 1 (pow (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) 3)) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ 1 a) (+ -3 a)))) (* (+ 1 a) (+ -3 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ 1 a) (+ -3 a)))) (* (+ 1 a) (+ -3 a))))) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- a 3)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)))) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- a 3)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)))) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* a a) (* 2 b)) b)) (+ (+ -3 a) (* a (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (* (* (* a a) (- a 3)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)))) (* (- a 3) (+ a 1)))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* a a) (* 2 b)) b)) (+ (+ -3 a) (* a (+ -3 a)))))) * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) 3)) (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) 3)) (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (+ (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (+ (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) 3)) (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))))) (+ (* (* (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (+ (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))))))) * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (+ (* (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (- 1 a) (* a a)) 4)) (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))) (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (+ (* (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (- 1 a) (* a a)) 4)) (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))) (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b))))))) * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))))) (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (+ (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))))) (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (+ (pow a 4) (+ (* b (* (* a 2) (* a b))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) (+ (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (+ (pow a 4) (+ (* b (* (* a 2) (* a b))) (pow b 4))))))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (- (* 4 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (* (- 1 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* 4 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (* (- 1 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (* 2 b) (* (* a a) b)) (+ (pow a 4) (+ (pow b 4) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* 4 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (* (- 1 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (* 2 b) (* (* a a) b)) (+ (pow a 4) (+ (pow b 4) 1)))))) * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a 3) (* b b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (pow (* (* b b) (+ 3 a)) 1) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ a 3)) (log (* b b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (+ 3 a)) (log (* b b))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (exp (+ (log (+ 3 a)) (log (* b b)))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ a 3) (+ a 3)) (+ a 3)) (* (* (* b b) (* b b)) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (cbrt (* (pow (+ 3 a) 3) (* (pow b 3) (pow b 3)))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a 3)) (cbrt (+ a 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (* (cbrt (+ 3 a)) (cbrt (+ 3 a))) (* (cbrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 3 a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (* (sqrt (+ 3 a)) (* (sqrt (+ a 3)) (* b b))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow a 3) (pow 3 3)) (* b b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* b b) (+ 27 (pow a 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ 27 (pow a 3))) (+ (* a a) (- (* 3 3) (* a 3)))) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* a a) (* 3 3)) (* b b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) -9)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (- (* (+ (/ (* (* b b) (+ (* a a) -9)) (- a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (+ a 3) (* b b))) (exp (* (- 1 a) (* a a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (exp (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (log (exp (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (* b b) (+ (+ a 1) (* a a))) (+ 27 (pow a 3))) (* (* (- 1 (pow a 3)) (* a a)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (* (* b b) (+ (+ a 1) (* a a))) (+ 27 (pow a 3))) (* (* (- 1 (pow a 3)) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * [enter]simplify: Simplifying (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (+ (+ a 1) (* a a)) (- 9 (* (- 3 a) a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (* (* b b) (+ (+ a 1) (* a a))) (+ 27 (pow a 3))) (* (* (- 1 (pow a 3)) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ a 1) (* a a)) (- 9 (* (- 3 a) a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (* a a)) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ 27 (pow a 3)) (* (* b b) (+ a 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (* (- 1 (* a a)) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ 27 (pow a 3)) (* (* b b) (+ a 1)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * [enter]simplify: Simplifying (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (+ 9 (* a (+ a -3))) (+ a 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (* (- 1 (* a a)) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ 27 (pow a 3)) (* (* b b) (+ a 1)))) (* (+ 9 (* a (+ a -3))) (+ a 1))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (pow a 3)) (* (* a a) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (* b b)) (+ (* a a) -9))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (- 1 (pow a 3)) (* (* a a) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (* b b)) (+ (* a a) -9))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * [enter]simplify: Simplifying (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (* (+ -3 a) (+ (+ 1 a) (* a a))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (- 1 (pow a 3)) (* (* a a) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (* b b)) (+ (* a a) -9))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (/ (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) (* (- a 3) (+ 1 a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * [enter]simplify: Simplifying (* (- a 3) (+ 1 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ 1 a) (+ -3 a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (- (* (/ (+ (* (* (- a 3) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (+ -9 (* a a)))) (* (+ 1 a) (+ -3 a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 2 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))) * * * * [misc]progress: [ 83 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 2 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))) * * * * [misc]progress: [ 84 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 2 1 2) to (λ (a b) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))) * * * * [misc]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (- (* (* 12 b) b) (* (* -4 a) a)) 1) * [misc]simplify: Simplified (2) to (λ (a b) (- (- (* (* 12 b) b) (* (* -4 a) a)) 1)) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (* (- 1 a) (* a a)) (* 3 (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* (- 1 a) (* a a)) (* 3 (* b b))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (- 1 (pow b 4))) into (- (pow b 4) 1) * [misc]backup-simplify: Simplify (+ (* 12 (pow b 2)) (- (pow b 4) 1)) into (- (+ (pow b 4) (* 12 (pow b 2))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (* 12 (pow b 2))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) 0) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (- (- (* 2 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 4 (* 2 (pow b 2))) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) 0) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 2 (/ 1 (pow b 2))))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 4 (* 2 (/ 1 (pow b 2)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow b 2)))) 0) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (- (- 1 (/ 1 (pow b 4)))) into (- (/ 1 (pow b 4)) 1) * [misc]backup-simplify: Simplify (+ (* 12 (/ 1 (pow b 2))) (- (/ 1 (pow b 4)) 1)) into (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (pow (* a b) 2)) (pow a 4)))))))) * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4)))))))) * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4)))))))) * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log b) (log a))))) (pow a 4)))))))) * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* (+ (log b) (log a)) 2))) (pow a 4)))))))) * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))) (pow a 4)))))))) * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))) (pow a 4)))))))) * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) 1) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))) (pow a 4)))))))) * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))) (pow a 4)))))))) * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (pow (* a b) 2)) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log b) (log a))))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* (+ (log b) (log a)) 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) 1) (* b b))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (pow (* a b) 2)) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log b) (log a))))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (exp (* (+ (log b) (log a)) 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (pow a 2) 1) (* b b))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (exp (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (log (exp (- (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) 2)))))))) * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* (- 1 (pow (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) 3)) (* (+ (* (- 3 a) 3) (* a a)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* 4 (+ (* (* (+ (* a a) (+ a 1)) (+ 27 (pow a 3))) (* b b)) (* (+ (* (- 3 a) 3) (* a a)) (* (* a a) (- 1 (pow a 3))))))) (* (- 1 (pow (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) 3)) (* (+ (* (- 3 a) 3) (* a a)) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (* 2 (* (* b b) (* a a))) (pow b 4)) (pow a 4)) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) (+ (* (+ (+ (* 2 (* (* b b) (* a a))) (pow b 4)) (pow a 4)) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))))) * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* a a) (- 1 (pow a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) 4)) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* a a) (- 1 (pow a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) 4)) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (+ (* (* (* b b) (+ 27 (pow a 3))) (+ (+ 1 a) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* a a) (- 1 (pow a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) 4)) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ (+ 1 a) (* a a))) (- 1 (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* b b) (* a a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))))) * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- 1 (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) 4) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (* (* (* a a) (- 1 (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) 4) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (* (* (* a a) (- 1 (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) 4) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (+ (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))) (* (- 9 (* a (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (- (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* a a) (* b b)))) 4) (+ (* (* (* a a) (- 1 (* a a))) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (+ a 1) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* a a) (* b b)))) 4) (+ (* (* (* a a) (- 1 (* a a))) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (+ a 1) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 b) b) (* a a))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* 2 (* (* a a) (* b b)))) 4) (+ (* (* (* a a) (- 1 (* a a))) (- 9 (* a (- 3 a)))) (* (+ (pow a 3) 27) (* (+ a 1) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* 2 b) b) (* a a))) (* (- 9 (* a (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) 3)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (+ (* (+ -3 a) (+ (+ 1 a) (* a a))) (* (+ (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (pow b 4)) (* (+ (* (* a (* 2 a)) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ -3 a) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* 4 (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (* b b) (* (- (* a a) 9) (+ (+ 1 a) (* a a))))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (- 1 (pow (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) 3)))) (+ (* (+ -3 a) (+ (+ 1 a) (* a a))) (* (+ (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (pow b 4)) (* (+ (* (* a (* 2 a)) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ -3 a) (+ (+ 1 a) (* a a)))))))))) * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ -9 (* a a)) (* (* b b) (+ (* a a) (+ a 1))))) (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) 4)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (- 1 (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ -9 (* a a)) (* (* b b) (+ (* a a) (+ a 1))))) (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) 4)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (- 1 (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (- a 3) (* (+ (* a a) a) (- a 3)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (+ (* (* (- a 3) (* a a)) (- 1 (pow a 3))) (* (+ -9 (* a a)) (* (* b b) (+ (* a a) (+ a 1))))) (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) 4)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (- 1 (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (pow b 4))))))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (- a 3) (* (+ (* a a) a) (- a 3)))))))) * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4))) (* (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4)))))) (* (- 1 (pow (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) 3)) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (+ (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4))) (* (* (+ (* (- 1 (* a a)) (* (* a a) (- a 3))) (* (* (* b b) (+ a 1)) (+ -9 (* a a)))) 4) (* (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4)))))) (* (- 1 (pow (+ (pow b 4) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) 3)) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ 1 a) (+ -3 a)))) (* (+ 1 a) (+ -3 a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ 1 a) (+ -3 a)))) (* (+ 1 a) (+ -3 a))))))) * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (395 enodes) * [exit]simplify: Simplified to (- (* (* (+ (* (* (* a a) (- a 3)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)))) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (* (* (* a a) (- a 3)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)))) (* (- a 3) (+ a 1)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* a a) (* 2 b)) b)) (+ (+ -3 a) (* a (+ -3 a)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (* (* (* a a) (- a 3)) (- 1 (* a a))) (* (* (* b b) (+ a 1)) (+ (* a a) -9))) 4) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (* (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* a 2)) a)))) (* (- a 3) (+ a 1)))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* a a) (* 2 b)) b)) (+ (+ -3 a) (* a (+ -3 a)))))))) * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) 3)) (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) 3)) (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (+ (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (* (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (+ (pow (* (* b b) (+ 3 a)) 3) (pow (* (* a a) (- 1 a)) 3)) 4)) (* (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) 3)) (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))))) (+ (* (* (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (+ (* (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (pow a 4))) (+ (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b))))))))))) * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (+ (* (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (- 1 a) (* a a)) 4)) (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))) (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 (* a a)) (* b b))) (+ (* (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (- 1 a) (* a a)) 4)) (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))) (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b)))) (- 1 (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (* a a) (- 1 a)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))))) (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (+ (+ (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))))) (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 4 (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (- 1 (pow (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) 3)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (+ (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (+ (pow a 4) (+ (* b (* (* a 2) (* a b))) (pow b 4))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))) (+ (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (+ (pow a 4) (+ (* b (* (* a 2) (* a b))) (pow b 4))))))))) * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (- (* 4 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (* (- 1 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* 4 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (* (- 1 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * [enter]simplify: Simplifying (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (* 2 b) (* (* a a) b)) (+ (pow a 4) (+ (pow b 4) 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (/ (- (* 4 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 1 a) (* a a)) (* (+ 3 a) (* b b)))))) (* (- 1 (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (pow b 4))))) (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) (* (- (* (* b b) (+ 3 a)) (* (* a a) (- 1 a))) (+ (* (* 2 b) (* (* a a) b)) (+ (pow a 4) (+ (pow b 4) 1)))))))) * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))))) * * * * [misc]progress: [ 91 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (- (* -2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))))) * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 1) (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))))) * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))))) * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))))) * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 2 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))))) * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 1 2 2 2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (- (* (* 12 b) b) (* (* -4 a) a)) 1) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (- (* (* 12 b) b) (* (* -4 a) a)) 1)))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))))) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (cbrt (* (* (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2 2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 2 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ a 3) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 3) 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 1 a) (pow a 2)) into (* (pow a 2) (- 1 a)) * [misc]backup-simplify: Simplify (+ 0 (* (pow a 2) (- 1 a))) into (- (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* (- (pow a 2) (pow a 3)) 4) into (* 4 (- (pow a 2) (pow a 3))) * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) in b * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (* 4 (- (pow a 2) (pow a 3))) (* 4 (- (pow a 2) (pow a 3)))) into (* 16 (pow (- (pow a 2) (pow a 3)) 2)) * [misc]backup-simplify: Simplify (* (* 4 (- (pow a 2) (pow a 3))) (* 16 (pow (- (pow a 2) (pow a 3)) 2))) into (* 64 (pow (- (pow a 2) (pow a 3)) 3)) * [misc]backup-simplify: Simplify (* (- 1 (pow a 4)) (- 1 (pow a 4))) into (pow (- 1 (pow a 4)) 2) * [misc]backup-simplify: Simplify (* (- 1 (pow a 4)) (pow (- 1 (pow a 4)) 2)) into (pow (- 1 (pow a 4)) 3) * [misc]backup-simplify: Simplify (- (pow (- 1 (pow a 4)) 3)) into (- (+ (* 3 (pow a 4)) (pow a 12)) (+ (* 3 (pow a 8)) 1)) * [misc]backup-simplify: Simplify (+ (* 64 (pow (- (pow a 2) (pow a 3)) 3)) (- (+ (* 3 (pow a 4)) (pow a 12)) (+ (* 3 (pow a 8)) 1))) into (- (+ (* 3 (pow a 4)) (+ (* 64 (pow a 6)) (+ (* 189 (pow a 8)) (pow a 12)))) (+ (* 192 (pow a 7)) (+ (* 64 (pow a 9)) 1))) * [misc]backup-simplify: Simplify (+ a 3) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 3) 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 1 a) (pow a 2)) into (* (pow a 2) (- 1 a)) * [misc]backup-simplify: Simplify (+ 0 (* (pow a 2) (- 1 a))) into (- (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* (- (pow a 2) (pow a 3)) 4) into (* 4 (- (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (+ a 3) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 3) 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 1 a) (pow a 2)) into (* (pow a 2) (- 1 a)) * [misc]backup-simplify: Simplify (+ 0 (* (pow a 2) (- 1 a))) into (- (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* (- (pow a 2) (pow a 3)) 4) into (* 4 (- (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (* (* 4 (- (pow a 2) (pow a 3))) (* 4 (- (pow a 2) (pow a 3)))) into (* 16 (pow (- (pow a 2) (pow a 3)) 2)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (- 1 (pow a 4)) (- 1 (pow a 4))) into (pow (- 1 (pow a 4)) 2) * [misc]backup-simplify: Simplify (+ a 3) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 3) 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 1 a) (pow a 2)) into (* (pow a 2) (- 1 a)) * [misc]backup-simplify: Simplify (+ 0 (* (pow a 2) (- 1 a))) into (- (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* (- (pow a 2) (pow a 3)) 4) into (* 4 (- (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (* 4 (- (pow a 2) (pow a 3))) (- 1 (pow a 4))) into (* 4 (* (- 1 (pow a 4)) (- (pow a 2) (pow a 3)))) * [misc]backup-simplify: Simplify (+ (pow (- 1 (pow a 4)) 2) (* 4 (* (- 1 (pow a 4)) (- (pow a 2) (pow a 3))))) into (- (+ (* 4 (pow a 2)) (+ (pow a 8) (+ (* 4 (pow a 7)) 1))) (+ (* 2 (pow a 4)) (+ (* 4 (pow a 6)) (* 4 (pow a 3))))) * [misc]backup-simplify: Simplify (+ (* 16 (pow (- (pow a 2) (pow a 3)) 2)) (- (+ (* 4 (pow a 2)) (+ (pow a 8) (+ (* 4 (pow a 7)) 1))) (+ (* 2 (pow a 4)) (+ (* 4 (pow a 6)) (* 4 (pow a 3)))))) into (- (+ (* 4 (pow a 2)) (+ (* 14 (pow a 4)) (+ (* 12 (pow a 6)) (+ (* 4 (pow a 7)) (+ (pow a 8) 1))))) (+ (* 4 (pow a 3)) (* 32 (pow a 5)))) * [misc]backup-simplify: Simplify (/ (- (+ (* 3 (pow a 4)) (+ (* 64 (pow a 6)) (+ (* 189 (pow a 8)) (pow a 12)))) (+ (* 192 (pow a 7)) (+ (* 64 (pow a 9)) 1))) (- (+ (* 4 (pow a 2)) (+ (* 14 (pow a 4)) (+ (* 12 (pow a 6)) (+ (* 4 (pow a 7)) (+ (pow a 8) 1))))) (+ (* 4 (pow a 3)) (* 32 (pow a 5))))) into (/ (- (+ (* 3 (pow a 4)) (+ (* 64 (pow a 6)) (+ (* 189 (pow a 8)) (pow a 12)))) (+ (* 192 (pow a 7)) (+ (* 64 (pow a 9)) 1))) (- (+ (* 4 (pow a 2)) (+ (* 14 (pow a 4)) (+ (* 12 (pow a 6)) (+ (* 4 (pow a 7)) (+ (pow a 8) 1))))) (+ (* 4 (pow a 3)) (* 32 (pow a 5))))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (* 12 (pow b 2))) into (* 144 (pow b 4)) * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (* 144 (pow b 4))) into (* 1728 (pow b 6)) * [misc]backup-simplify: Simplify (* (- 1 (pow b 4)) (- 1 (pow b 4))) into (pow (- 1 (pow b 4)) 2) * [misc]backup-simplify: Simplify (* (- 1 (pow b 4)) (pow (- 1 (pow b 4)) 2)) into (pow (- 1 (pow b 4)) 3) * [misc]backup-simplify: Simplify (- (pow (- 1 (pow b 4)) 3)) into (- (+ (* 3 (pow b 4)) (pow b 12)) (+ (* 3 (pow b 8)) 1)) * [misc]backup-simplify: Simplify (+ (* 1728 (pow b 6)) (- (+ (* 3 (pow b 4)) (pow b 12)) (+ (* 3 (pow b 8)) 1))) into (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (* 12 (pow b 2))) into (* 144 (pow b 4)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (* (- 1 (pow b 4)) (- 1 (pow b 4))) into (pow (- 1 (pow b 4)) 2) * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (- 1 (pow b 4))) into (* 12 (* (pow b 2) (- 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (pow (- 1 (pow b 4)) 2) (* 12 (* (pow b 2) (- 1 (pow b 4))))) into (- (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) (+ (* 2 (pow b 4)) (* 12 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (* 144 (pow b 4)) (- (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) (+ (* 2 (pow b 4)) (* 12 (pow b 6))))) into (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) * [misc]backup-simplify: Simplify (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) into (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (* 12 (pow b 2))) into (* 144 (pow b 4)) * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (* 144 (pow b 4))) into (* 1728 (pow b 6)) * [misc]backup-simplify: Simplify (* (- 1 (pow b 4)) (- 1 (pow b 4))) into (pow (- 1 (pow b 4)) 2) * [misc]backup-simplify: Simplify (* (- 1 (pow b 4)) (pow (- 1 (pow b 4)) 2)) into (pow (- 1 (pow b 4)) 3) * [misc]backup-simplify: Simplify (- (pow (- 1 (pow b 4)) 3)) into (- (+ (* 3 (pow b 4)) (pow b 12)) (+ (* 3 (pow b 8)) 1)) * [misc]backup-simplify: Simplify (+ (* 1728 (pow b 6)) (- (+ (* 3 (pow b 4)) (pow b 12)) (+ (* 3 (pow b 8)) 1))) into (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (* 12 (pow b 2))) into (* 144 (pow b 4)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (* (- 1 (pow b 4)) (- 1 (pow b 4))) into (pow (- 1 (pow b 4)) 2) * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 3 (pow b 2)) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow b 2)) 0) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 3 (pow b 2)) 4) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- (pow b 4)) into (- (pow b 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow b 4))) into (- 1 (pow b 4)) * [misc]backup-simplify: Simplify (* (* 12 (pow b 2)) (- 1 (pow b 4))) into (* 12 (* (pow b 2) (- 1 (pow b 4)))) * [misc]backup-simplify: Simplify (+ (pow (- 1 (pow b 4)) 2) (* 12 (* (pow b 2) (- 1 (pow b 4))))) into (- (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) (+ (* 2 (pow b 4)) (* 12 (pow b 6)))) * [misc]backup-simplify: Simplify (+ (* 144 (pow b 4)) (- (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) (+ (* 2 (pow b 4)) (* 12 (pow b 6))))) into (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) * [misc]backup-simplify: Simplify (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) into (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) in b * [misc]taylor: Taking taylor expansion of (* 3 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1728 (pow b 6)) (pow b 12)) in b * [misc]taylor: Taking taylor expansion of (* 1728 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 1728 in b * [misc]backup-simplify: Simplify 1728 into 1728 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 3 (pow b 8)) 1) in b * [misc]taylor: Taking taylor expansion of (* 3 (pow b 8)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) (* 4 (pow b 2))) (* (* 4 (pow b 2)) (* 12 (pow b 2)))) into (* 96 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) (* 96 (pow b 4))) (* (* 4 (pow b 2)) (* 144 (pow b 4)))) into (* 1728 (pow b 6)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (pow b 4)) 0) (* 0 (- 1 (pow b 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (pow b 4)) 0) (* 0 (pow (- 1 (pow b 4)) 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1728 (pow b 6)) 0) into (* 1728 (pow b 6)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) (* 4 (pow b 2))) (* (* 4 (pow b 2)) (* 12 (pow b 2)))) into (* 96 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (pow b 4)) 0) (* 0 (- 1 (pow b 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 1 (pow b 2))) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 0)) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (* (pow b 2) 4)) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) 0) (* (* 4 (pow b 2)) (- 1 (pow b 4)))) into (- (* 4 (pow b 2)) (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (pow b 2)) (* 4 (pow b 6)))) into (- (* 4 (pow b 2)) (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* 96 (pow b 4)) (- (* 4 (pow b 2)) (* 4 (pow b 6)))) into (- (+ (* 96 (pow b 4)) (* 4 (pow b 2))) (* 4 (pow b 6))) * [misc]backup-simplify: Simplify (- (/ (* 1728 (pow b 6)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) (+ (* (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) (/ (- (+ (* 96 (pow b 4)) (* 4 (pow b 2))) (* 4 (pow b 6))) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))) into (- (+ (* 96 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1728 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))))) (+ (* 7200 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 165864 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 96 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1728 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))))) (+ (* 7200 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 165864 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 96 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1728 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))))) in b * [misc]taylor: Taking taylor expansion of (* 96 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 96 in b * [misc]backup-simplify: Simplify 96 into 96 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1728 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))))) in b * [misc]taylor: Taking taylor expansion of (* 1728 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) in b * [misc]taylor: Taking taylor expansion of 1728 in b * [misc]backup-simplify: Simplify 1728 into 1728 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 7200 in b * [misc]backup-simplify: Simplify 7200 into 7200 * [misc]taylor: Taking taylor expansion of (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 18) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 7200 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 165864 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))))) in b * [misc]taylor: Taking taylor expansion of (* 7200 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 7200 in b * [misc]backup-simplify: Simplify 7200 into 7200 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 165864 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))))) in b * [misc]taylor: Taking taylor expansion of (* 165864 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 165864 in b * [misc]backup-simplify: Simplify 165864 into 165864 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 96 in b * [misc]backup-simplify: Simplify 96 into 96 * [misc]taylor: Taking taylor expansion of (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 16) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) 4) (+ (* (* 4 (pow b 2)) (* 4 (pow b 2))) (* 4 (* 12 (pow b 2))))) into (+ (* 16 (pow b 4)) (* 96 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) (+ (* 16 (pow b 4)) (* 96 (pow b 2)))) (+ (* (* 4 (pow b 2)) (* 96 (pow b 4))) (* 4 (* 144 (pow b 4))))) into (+ (* 1728 (pow b 4)) (* 576 (pow b 6))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (- 1 (pow b 4)) (- (* 2 (pow b 2)))) (+ (* 0 0) (* (- (* 2 (pow b 2))) (- 1 (pow b 4))))) into (- (* 4 (pow b 6)) (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (- 1 (pow b 4)) (- (* 4 (pow b 6)) (* 4 (pow b 2)))) (+ (* 0 0) (* (- (* 2 (pow b 2))) (pow (- 1 (pow b 4)) 2)))) into (- (* 12 (pow b 6)) (+ (* 6 (pow b 2)) (* 6 (pow b 10)))) * [misc]backup-simplify: Simplify (- (- (* 12 (pow b 6)) (+ (* 6 (pow b 2)) (* 6 (pow b 10))))) into (- (+ (* 6 (pow b 2)) (* 6 (pow b 10))) (* 12 (pow b 6))) * [misc]backup-simplify: Simplify (+ (+ (* 1728 (pow b 4)) (* 576 (pow b 6))) (- (+ (* 6 (pow b 2)) (* 6 (pow b 10))) (* 12 (pow b 6)))) into (+ (* 1728 (pow b 4)) (+ (* 564 (pow b 6)) (+ (* 6 (pow b 2)) (* 6 (pow b 10))))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) 4) (+ (* (* 4 (pow b 2)) (* 4 (pow b 2))) (* 4 (* 12 (pow b 2))))) into (+ (* 16 (pow b 4)) (* 96 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (- 1 (pow b 4)) (- (* 2 (pow b 2)))) (+ (* 0 0) (* (- (* 2 (pow b 2))) (- 1 (pow b 4))))) into (- (* 4 (pow b 6)) (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow b 2))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow b 2))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow b 2)))) into (- (* 2 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* -1 0) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 3 (pow b 2)) 0) (+ (* (pow b 2) 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (+ (* (* 12 (pow b 2)) (- (* 2 (pow b 2)))) (+ (* (* 4 (pow b 2)) 0) (* 4 (- 1 (pow b 4))))) into (- 4 (* 28 (pow b 4))) * [misc]backup-simplify: Simplify (+ (- (* 4 (pow b 6)) (* 4 (pow b 2))) (- 4 (* 28 (pow b 4)))) into (- (+ (* 4 (pow b 6)) 4) (+ (* 28 (pow b 4)) (* 4 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (+ (* 16 (pow b 4)) (* 96 (pow b 2))) (- (+ (* 4 (pow b 6)) 4) (+ (* 28 (pow b 4)) (* 4 (pow b 2))))) into (- (+ (* 4 (pow b 6)) (+ (* 92 (pow b 2)) 4)) (* 12 (pow b 4))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1728 (pow b 4)) (+ (* 564 (pow b 6)) (+ (* 6 (pow b 2)) (* 6 (pow b 10))))) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) (+ (* (/ (- (+ (* 3 (pow b 4)) (+ (* 1728 (pow b 6)) (pow b 12))) (+ (* 3 (pow b 8)) 1)) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) (/ (- (+ (* 4 (pow b 6)) (+ (* 92 (pow b 2)) 4)) (* 12 (pow b 4))) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (* (- (+ (* 96 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1728 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 7200 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 4 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))))))) (+ (* 7200 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 165864 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 96 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 16 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)))))))) (/ (- (+ (* 96 (pow b 4)) (* 4 (pow b 2))) (* 4 (pow b 6))) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))) into (- (+ (* 6 (/ (pow b 2) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 30720 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 1354592 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))))))))))) (+ (* 165840 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 80 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 144888 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 6 (/ (pow b 2) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 30720 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 1354592 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))))))))))) (+ (* 165840 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 80 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 144888 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))))))))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (pow b 2) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 30720 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 1354592 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 6 (/ (pow b 2) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 30720 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 1354592 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 30720 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 30720 in b * [misc]backup-simplify: Simplify 30720 into 30720 * [misc]taylor: Taking taylor expansion of (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 18) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1354592 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 1354592 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 1354592 in b * [misc]backup-simplify: Simplify 1354592 into 1354592 * [misc]taylor: Taking taylor expansion of (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 16) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 30720 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 30720 in b * [misc]backup-simplify: Simplify 30720 into 30720 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 15865344 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 15865344 in b * [misc]backup-simplify: Simplify 15865344 into 15865344 * [misc]taylor: Taking taylor expansion of (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))))))))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 24) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 24) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))))) in b * [misc]taylor: Taking taylor expansion of (* 564 (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) in b * [misc]taylor: Taking taylor expansion of 564 in b * [misc]backup-simplify: Simplify 564 into 564 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))))))) in b * [misc]taylor: Taking taylor expansion of (* 6 (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) in b * [misc]taylor: Taking taylor expansion of 6 in b * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))))) in b * [misc]taylor: Taking taylor expansion of (* 9136 (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 9136 in b * [misc]backup-simplify: Simplify 9136 into 9136 * [misc]taylor: Taking taylor expansion of (/ (pow b 20) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 20) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))))) in b * [misc]taylor: Taking taylor expansion of (* 92 (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 92 in b * [misc]backup-simplify: Simplify 92 into 92 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1728 (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))))) in b * [misc]taylor: Taking taylor expansion of 1728 in b * [misc]backup-simplify: Simplify 1728 into 1728 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6)))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 165840 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 80 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 144888 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 165840 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 165840 in b * [misc]backup-simplify: Simplify 165840 into 165840 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 80 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 144888 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 80 (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 80 in b * [misc]backup-simplify: Simplify 80 into 80 * [misc]taylor: Taking taylor expansion of (/ (pow b 14) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 14) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 144888 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 144888 (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 144888 in b * [misc]backup-simplify: Simplify 144888 into 144888 * [misc]taylor: Taking taylor expansion of (/ (pow b 10) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 10) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))))))))) in b * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 16 in b * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)))))))))) in b * [misc]taylor: Taking taylor expansion of (* 24 (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 24 in b * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ (pow b 4) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow b 18) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 18) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)))))))) in b * [misc]taylor: Taking taylor expansion of (* 1354592 (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 1354592 in b * [misc]backup-simplify: Simplify 1354592 into 1354592 * [misc]taylor: Taking taylor expansion of (/ (pow b 16) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 16) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))))) in b * [misc]taylor: Taking taylor expansion of (* 768 (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 768 in b * [misc]backup-simplify: Simplify 768 into 768 * [misc]taylor: Taking taylor expansion of (/ (pow b 22) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 22) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)))))) in b * [misc]taylor: Taking taylor expansion of (* 768 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 768 in b * [misc]backup-simplify: Simplify 768 into 768 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))))) in b * [misc]taylor: Taking taylor expansion of (* 7184 (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 7184 in b * [misc]backup-simplify: Simplify 7184 into 7184 * [misc]taylor: Taking taylor expansion of (/ (pow b 6) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)))) in b * [misc]taylor: Taking taylor expansion of (* 40 (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2))) in b * [misc]taylor: Taking taylor expansion of 40 in b * [misc]backup-simplify: Simplify 40 into 40 * [misc]taylor: Taking taylor expansion of (/ (pow b 12) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 12) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 2) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 9136 (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3))) in b * [misc]taylor: Taking taylor expansion of 9136 in b * [misc]backup-simplify: Simplify 9136 into 9136 * [misc]taylor: Taking taylor expansion of (/ (pow b 8) (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) 3) in b * [misc]taylor: Taking taylor expansion of (- (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) (* 12 (pow b 6))) in b * [misc]taylor: Taking taylor expansion of (+ (* 142 (pow b 4)) (+ (pow b 8) (+ (* 12 (pow b 2)) 1))) in b * [misc]taylor: Taking taylor expansion of (* 142 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of 142 in b * [misc]backup-simplify: Simplify 142 into 142 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 8) (+ (* 12 (pow b 2)) 1)) in b * [misc]taylor: Taking taylor expansion of (pow b 8) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow b 2)) 1) in b * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 6)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 6) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 12 1)) (* 0 (/ 0 1)))) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 12 (pow (* b 1) 2)) (+ (* 4 (pow (* 1 a) 2)) -1)) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) 1) * [misc]approximate: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (/ 1 a) 3) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 3) 1) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (+ (+ (/ 1 a) 3) 0) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 3) 4) into (* 4 (+ (/ 1 a) 3)) * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))))) in b * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) 3) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4)) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -4 -1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 4 1)))) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) -1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 (* 4 (/ 1 (pow b 2)))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) 1))) into (- (* 6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 6 (/ 1 (pow b 2))))) into (* 6 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 6 (/ 1 (pow b 2)))) into (* 6 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 4) into -4 * [misc]backup-simplify: Simplify (* -4 -4) into 16 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) -1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ (* -4 0) (* 4 -1)) into -4 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) -4) into (- (* 4 (/ 1 (pow b 2))) 4) * [misc]backup-simplify: Simplify (+ 16 (- (* 4 (/ 1 (pow b 2))) 4)) into (+ 12 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (* 6 (/ 1 (pow b 2))) 1) (+ (* 1 (/ (+ 12 (* 4 (/ 1 (pow b 2)))) 1)) (* -4 (/ 4 1)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* -4 -4) into 16 * [misc]backup-simplify: Simplify (* -4 16) into -64 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow b 2))))) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -64 0) into -64 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ (* -4 4) (* 4 -4)) into -32 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow b 2))))) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -4 (- (* 2 (/ 1 (pow b 2))))) (+ (* 4 0) (* (* 4 (/ 1 (pow b 2))) -1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow b 2)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ -32 (* 4 (/ 1 (pow b 2)))) into (- (* 4 (/ 1 (pow b 2))) 32) * [misc]backup-simplify: Simplify (- (/ -64 1) (+ (* 1 (/ (- (* 4 (/ 1 (pow b 2))) 32) 1)) (* -4 (/ (+ 12 (* 4 (/ 1 (pow b 2)))) 1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ 4 1)))) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ (* -4 4) (* 4 -4)) into -32 * [misc]backup-simplify: Simplify (+ (* -4 -32) (* 4 16)) into 192 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- 1 (/ 1 (pow b 4))) -1))))) into (- (* 6 (/ 1 (pow b 4))) 2) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 6 (/ 1 (pow b 4))) 2)) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) (* 4 (/ 1 (pow b 2)))) (+ (* 0 0) (* (- 1 (/ 1 (pow b 4))) 1))))) into (- 3 (* 15 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (- 3 (* 15 (/ 1 (pow b 4))))) into (- (* 15 (/ 1 (pow b 4))) 3) * [misc]backup-simplify: Simplify (+ 192 (- (* 15 (/ 1 (pow b 4))) 3)) into (+ (* 15 (/ 1 (pow b 4))) 189) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* (/ 1 (pow b 2)) 4))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -4 (* 4 (/ 1 (pow b 2)))) (+ (* 4 4) (* (* 4 (/ 1 (pow b 2))) -4))) into (- 16 (* 32 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- 1 (/ 1 (pow b 4))) -1))))) into (- (* 6 (/ 1 (pow b 4))) 2) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* (/ 1 (pow b 2)) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 4 (- (* 2 (/ 1 (pow b 2))))) (+ (* (* 4 (/ 1 (pow b 2))) 0) (* (* 12 (/ 1 (pow b 2))) -1)))) into (- (* 20 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (- (* 6 (/ 1 (pow b 4))) 2) (- (* 20 (/ 1 (pow b 2))))) into (- (* 6 (/ 1 (pow b 4))) (+ (* 20 (/ 1 (pow b 2))) 2)) * [misc]backup-simplify: Simplify (+ (- 16 (* 32 (/ 1 (pow b 2)))) (- (* 6 (/ 1 (pow b 4))) (+ (* 20 (/ 1 (pow b 2))) 2))) into (- (+ (* 6 (/ 1 (pow b 4))) 14) (* 52 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (* 15 (/ 1 (pow b 4))) 189) 1) (+ (* 1 (/ (- (+ (* 6 (/ 1 (pow b 4))) 14) (* 52 (/ 1 (pow b 2)))) 1)) (* -4 (/ (- (* 4 (/ 1 (pow b 2))) 32) 1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ (+ 12 (* 4 (/ 1 (pow b 2)))) 1)) (* (* 4 (/ 1 (pow b 2))) (/ 4 1)))) into (- (+ (* 12 (/ 1 (pow b 2))) (/ 1 (pow b 4))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (/ 1 (pow b 2))) (/ 1 (pow b 4))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (pow b 2))) (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (/ -1 a) 3) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (- 3 (/ 1 a)) 1) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ (- 3 (/ 1 a)) 0) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (- 3 (/ 1 a)) 4) into (* 4 (- 3 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))))) in b * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) 3) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]taylor: Taking taylor expansion of (pow (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))))) in a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4)) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -4 1)))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) -1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 (* 4 (/ 1 (pow b 2)))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) 1))) into (- (* 6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (- (* 6 (/ 1 (pow b 2))))) into (* 6 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 6 (/ 1 (pow b 2)))) into (* 6 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (* 4 4) into 16 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow b 2)))) -1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 4 -1)) into -4 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) -4) into (- (* 4 (/ 1 (pow b 2))) 4) * [misc]backup-simplify: Simplify (+ 16 (- (* 4 (/ 1 (pow b 2))) 4)) into (+ 12 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (* 6 (/ 1 (pow b 2))) 1) (+ (* 1 (/ (+ 12 (* 4 (/ 1 (pow b 2)))) 1)) (* 4 (/ -4 1)))) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 4) into 16 * [misc]backup-simplify: Simplify (* 4 16) into 64 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow b 2))))) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 64 0) into 64 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ (* 4 4) (* 4 4)) into 32 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow b 2))))) (+ (* (- (* 2 (/ 1 (pow b 2)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow b 2)))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow b 2)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow b 2))))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 2 (/ 1 (pow b 2))))) (+ (* 4 0) (* (- (* 4 (/ 1 (pow b 2)))) -1))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 32 (- (* 4 (/ 1 (pow b 2))))) into (- 32 (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ 64 1) (+ (* 1 (/ (- 32 (* 4 (/ 1 (pow b 2)))) 1)) (* 4 (/ (+ 12 (* 4 (/ 1 (pow b 2)))) 1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ -4 1)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 4)) into 4 * [misc]backup-simplify: Simplify (+ (* 4 4) (* 4 4)) into 32 * [misc]backup-simplify: Simplify (+ (* 4 32) (* 4 16)) into 192 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- 1 (/ 1 (pow b 4))) -1))))) into (- (* 6 (/ 1 (pow b 4))) 2) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 6 (/ 1 (pow b 4))) 2)) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) (* 4 (/ 1 (pow b 2)))) (+ (* 0 0) (* (- 1 (/ 1 (pow b 4))) 1))))) into (- 3 (* 15 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (- 3 (* 15 (/ 1 (pow b 4))))) into (- (* 15 (/ 1 (pow b 4))) 3) * [misc]backup-simplify: Simplify (+ 192 (- (* 15 (/ 1 (pow b 4))) 3)) into (+ (* 15 (/ 1 (pow b 4))) 189) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (pow b 2))) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (pow b 2)) 0) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* (- (/ 1 (pow b 2))) 4))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 4 (/ 1 (pow b 2))))) (+ (* 4 4) (* (- (* 4 (/ 1 (pow b 2)))) 4))) into (- 16 (* 32 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) 0) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow b 4))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow b 4)))) into (- 1 (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow b 4)))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow b 2)))) (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 0) (* (- 1 (/ 1 (pow b 4))) -1))))) into (- (* 6 (/ 1 (pow b 4))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (pow b 2))) 0) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (* 3 (/ 1 (pow b 2))) 4)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 4 (- (* 2 (/ 1 (pow b 2))))) (+ (* (- (* 4 (/ 1 (pow b 2)))) 0) (* (* 12 (/ 1 (pow b 2))) -1)))) into (- (* 20 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (- (* 6 (/ 1 (pow b 4))) 2) (- (* 20 (/ 1 (pow b 2))))) into (- (* 6 (/ 1 (pow b 4))) (+ (* 20 (/ 1 (pow b 2))) 2)) * [misc]backup-simplify: Simplify (+ (- 16 (* 32 (/ 1 (pow b 2)))) (- (* 6 (/ 1 (pow b 4))) (+ (* 20 (/ 1 (pow b 2))) 2))) into (- (+ (* 6 (/ 1 (pow b 4))) 14) (* 52 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (* 15 (/ 1 (pow b 4))) 189) 1) (+ (* 1 (/ (- (+ (* 6 (/ 1 (pow b 4))) 14) (* 52 (/ 1 (pow b 2)))) 1)) (* 4 (/ (- 32 (* 4 (/ 1 (pow b 2)))) 1)) (* (+ 4 (* 2 (/ 1 (pow b 2)))) (/ (+ 12 (* 4 (/ 1 (pow b 2)))) 1)) (* (- (* 4 (/ 1 (pow b 2)))) (/ -4 1)))) into (- (+ (* 12 (/ 1 (pow b 2))) (/ 1 (pow b 4))) 1) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (/ 1 (pow b 2))) (/ 1 (pow b 4))) 1) in b * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (pow b 2))) (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 3) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (- 1 (pow a 4)) (- 1 (pow a 4))) into (pow (- 1 (pow a 4)) 2) * [misc]backup-simplify: Simplify (+ a 3) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 3) 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 1 a) (pow a 2)) into (* (pow a 2) (- 1 a)) * [misc]backup-simplify: Simplify (+ 0 (* (pow a 2) (- 1 a))) into (- (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* (- (pow a 2) (pow a 3)) 4) into (* 4 (- (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 4))) into (- 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (* 4 (- (pow a 2) (pow a 3))) (- 1 (pow a 4))) into (* 4 (* (- 1 (pow a 4)) (- (pow a 2) (pow a 3)))) * [misc]backup-simplify: Simplify (+ (pow (- 1 (pow a 4)) 2) (* 4 (* (- 1 (pow a 4)) (- (pow a 2) (pow a 3))))) into (- (+ (* 4 (pow a 2)) (+ (pow a 8) (+ (* 4 (pow a 7)) 1))) (+ (* 2 (pow a 4)) (+ (* 4 (pow a 6)) (* 4 (pow a 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (pow a 2)) (+ (pow a 8) (+ (* 4 (pow a 7)) 1))) (+ (* 2 (pow a 4)) (+ (* 4 (pow a 6)) (* 4 (pow a 3))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 2)) (+ (pow a 8) (+ (* 4 (pow a 7)) 1))) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) (+ (* 4 (pow a 7)) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 7)) 1) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 7)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow a 4)) (+ (* 4 (pow a 6)) (* 4 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 6)) (* 4 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (pow a 4)) 0) (* 0 (- 1 (pow a 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 3) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 a) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 2) (pow a 3)) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (- (pow a 2) (pow a 3))) 0) (* 0 (- 1 (pow a 4)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow a 2))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow a 2)))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow a 2))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow a 2)))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (- 1 (pow a 4)) (- (* 2 (pow a 2)))) (+ (* 0 0) (* (- (* 2 (pow a 2))) (- 1 (pow a 4))))) into (- (* 4 (pow a 6)) (* 4 (pow a 2))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow a 2))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow a 2)))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 3) 1) (+ (* 0 0) (* 0 0))) into (+ a 3) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 a) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (+ a 3) 0) into (+ a 3) * [misc]backup-simplify: Simplify (+ (* (- (pow a 2) (pow a 3)) 0) (+ (* 0 0) (* (+ a 3) 4))) into (+ (* 4 a) 12) * [misc]backup-simplify: Simplify (+ (* (* 4 (- (pow a 2) (pow a 3))) (- (* 2 (pow a 2)))) (+ (* 0 0) (* (+ (* 4 a) 12) (- 1 (pow a 4))))) into (- (+ (* 4 (pow a 5)) (+ (* 4 a) 12)) (* 20 (pow a 4))) * [misc]backup-simplify: Simplify (+ (- (* 4 (pow a 6)) (* 4 (pow a 2))) (- (+ (* 4 (pow a 5)) (+ (* 4 a) 12)) (* 20 (pow a 4)))) into (- (+ 12 (+ (* 4 (pow a 6)) (+ (* 4 a) (* 4 (pow a 5))))) (+ (* 4 (pow a 2)) (* 20 (pow a 4)))) * [misc]taylor: Taking taylor expansion of (- (+ 12 (+ (* 4 (pow a 6)) (+ (* 4 a) (* 4 (pow a 5))))) (+ (* 4 (pow a 2)) (* 20 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (+ 12 (+ (* 4 (pow a 6)) (+ (* 4 a) (* 4 (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 6)) (+ (* 4 a) (* 4 (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 a) (* 4 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 2)) (* 20 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 20 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 20 in a * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* a 1) 2)) (+ (* 12 (pow (* 1 b) 2)) 1)) into (+ (* 4 (pow a 2)) (+ (* 12 (pow b 2)) 1)) * [misc]approximate: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 3) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow a 2)))) -1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (/ 1 a) 3) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 3) 1) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (+ (+ (/ 1 a) 3) 0) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 3) 4) into (* 4 (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 4 (+ (/ 1 a) 3)) -1) into (* -4 (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 2))) (* -4 (+ (/ 1 a) 3))) into (- (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 a)) 12)) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 a)) 12)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 a)) 12) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (+ (/ 1 a) 3)) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 4)))) into (- 1 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 4)))) into (- 1 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* (- 1 (/ 1 (pow a 4))) -1))))) into (- (* 6 (/ 1 (pow a 4))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 a))) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (/ 1 (pow a 2))) into (/ (- 1 (/ 1 a)) (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ (- 1 (/ 1 a)) (pow a 2))) into (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (* (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) 4))) into (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (* (* 4 (+ (/ 1 a) 3)) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) -1))) into (- (+ (* 28 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) * [misc]backup-simplify: Simplify (+ (- (* 6 (/ 1 (pow a 4))) 2) (- (+ (* 28 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))))) into (- (* 6 (/ 1 (pow a 4))) (+ (* 28 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) 2))) * [misc]taylor: Taking taylor expansion of (- (* 6 (/ 1 (pow a 4))) (+ (* 28 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) 2))) in a * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 6 in a * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) 2)) in a * [misc]taylor: Taking taylor expansion of (* 28 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 28 in a * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) 2) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- 1 (/ 1 (pow a 4)))) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* (- 1 (/ 1 (pow a 4))) 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (+ (/ 1 a) 3)) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (- 1 (/ 1 (pow a 4))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))))) into (- (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 4)))) into (- 1 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (+ (/ 1 a) 3)) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))) into (- (+ (* 4 (/ 1 (pow a 5))) (+ (* 4 (/ 1 a)) 12)) (* 20 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 2)))) (- (+ (* 4 (/ 1 (pow a 5))) (+ (* 4 (/ 1 a)) 12)) (* 20 (/ 1 (pow a 4))))) into (- (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 5))) 12))) (+ (* 4 (/ 1 (pow a 2))) (* 20 (/ 1 (pow a 4))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 5))) 12))) (+ (* 4 (/ 1 (pow a 2))) (* 20 (/ 1 (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 5))) 12))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 5))) 12)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 5))) 12) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (* 20 (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 20 in a * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 (- 1 (/ 1 (pow a 4)))) (+ (* (- 1 (/ 1 (pow a 4))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (+ (/ 1 a) 3)) 0) (+ (* 0 (- 1 (/ 1 (pow a 4)))) (+ (* (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 0) (+ (* (- 1 (/ 1 (pow a 4))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))))))) into (- (+ 1 (/ 1 (pow a 8))) (* 2 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 3) 0) (+ (* 0 0) (+ (* (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (+ (/ 1 a) 3)) 0) (+ (* 0 0) (+ (* (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))))) into (- (+ (* 4 (/ 1 (pow a 7))) (* 4 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 3))))) * [misc]backup-simplify: Simplify (+ (- (+ 1 (/ 1 (pow a 8))) (* 2 (/ 1 (pow a 4)))) (- (+ (* 4 (/ 1 (pow a 7))) (* 4 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 3)))))) into (- (+ (* 4 (/ 1 (pow a 2))) (+ (/ 1 (pow a 8)) (+ (* 4 (/ 1 (pow a 7))) 1))) (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 2))) (+ (/ 1 (pow a 8)) (+ (* 4 (/ 1 (pow a 7))) 1))) (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (+ (/ 1 (pow a 8)) (+ (* 4 (/ 1 (pow a 7))) 1))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 8)) (+ (* 4 (/ 1 (pow a 7))) 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 8)) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 7))) 1) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 7))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 7)) in a * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 4)) (+ (* 4 (pow (* (pow (/ 1 a) -3) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 8)))) into (+ (* 6 (* (pow a 4) (pow b 4))) (+ (* 4 (* (pow a 6) (pow b 2))) (pow a 8))) * [misc]approximate: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 3) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow a 2)))) -1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (/ -1 a) 3) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (- 3 (/ 1 a)) 1) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ (- 3 (/ 1 a)) 0) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (- 3 (/ 1 a)) 4) into (* 4 (- 3 (/ 1 a))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 4 (- 3 (/ 1 a))) -1) into (* -4 (- 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 2))) (* -4 (- 3 (/ 1 a)))) into (- (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) 12) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) 12) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 a)) (* 4 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (- 3 (/ 1 a))) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 4)))) into (- 1 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 4)))) into (- 1 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* -1 (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* (- 1 (/ 1 (pow a 4))) -1))))) into (- (* 6 (/ 1 (pow a 4))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (/ 1 (pow a 2))) into (/ (+ (/ 1 a) 1) (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ (+ (/ 1 a) 1) (pow a 2))) into (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (* (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) 4))) into (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (* (* 4 (- 3 (/ 1 a))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) -1))) into (- (* 4 (/ 1 (pow a 3))) (* 28 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (- (* 6 (/ 1 (pow a 4))) 2) (- (* 4 (/ 1 (pow a 3))) (* 28 (/ 1 (pow a 2))))) into (- (+ (* 4 (/ 1 (pow a 3))) (* 6 (/ 1 (pow a 4)))) (+ (* 28 (/ 1 (pow a 2))) 2)) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 3))) (* 6 (/ 1 (pow a 4)))) (+ (* 28 (/ 1 (pow a 2))) 2)) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (* 6 (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 6 in a * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ 1 (pow a 2))) 2) in a * [misc]taylor: Taking taylor expansion of (* 28 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 28 in a * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- 1 (/ 1 (pow a 4)))) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* (- 1 (/ 1 (pow a 4))) 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (- 3 (/ 1 a))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (- 1 (/ 1 (pow a 4))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))))) into (- (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 4)))) into (- 1 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (- 3 (/ 1 a))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))) into (- 12 (+ (* 4 (/ 1 (pow a 5))) (+ (* 4 (/ 1 a)) (* 20 (/ 1 (pow a 4)))))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 2)))) (- 12 (+ (* 4 (/ 1 (pow a 5))) (+ (* 4 (/ 1 a)) (* 20 (/ 1 (pow a 4))))))) into (- (+ (* 4 (/ 1 (pow a 6))) 12) (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 5))) (* 20 (/ 1 (pow a 4))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 6))) 12) (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 5))) (* 20 (/ 1 (pow a 4))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 6))) 12) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 a)) (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 5))) (* 20 (/ 1 (pow a 4)))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 5))) (* 20 (/ 1 (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 5))) (* 20 (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 20 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 20 in a * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 (- 1 (/ 1 (pow a 4)))) (+ (* (- 1 (/ 1 (pow a 4))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (- 3 (/ 1 a))) 0) (+ (* 0 (- 1 (/ 1 (pow a 4)))) (+ (* (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 0) (+ (* (- 1 (/ 1 (pow a 4))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))))))) into (- (+ 1 (/ 1 (pow a 8))) (* 2 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 (/ 1 a)) 0) (+ (* 0 0) (+ (* (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 (- 3 (/ 1 a))) 0) (+ (* 0 0) (+ (* (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (- 1 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 0) (* 0 -1))))))) into (- (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (+ (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 7))))) * [misc]backup-simplify: Simplify (+ (- (+ 1 (/ 1 (pow a 8))) (* 2 (/ 1 (pow a 4)))) (- (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (+ (* 4 (/ 1 (pow a 6))) (* 4 (/ 1 (pow a 7)))))) into (- (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 8)) 1))) (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 (pow a 7))) (* 2 (/ 1 (pow a 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 8)) 1))) (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 (pow a 7))) (* 2 (/ 1 (pow a 4)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 8)) 1))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (+ (/ 1 (pow a 8)) 1)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 8)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 8)) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 6))) (+ (* 4 (/ 1 (pow a 7))) (* 2 (/ 1 (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 7))) (* 2 (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 7))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 7)) in a * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (+ 0 6) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 4)) (+ (* 4 (pow (* (pow (/ 1 (- a)) -3) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 8)))) into (+ (* 6 (* (pow a 4) (pow b 4))) (+ (* 4 (* (pow a 6) (pow b 2))) (pow a 8))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (log (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (- (log (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)) 3))) (log (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)) 3))) (log (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* 2 a) (* a b)) b)))))))) * * * * [misc]progress: [ 3 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (* (* (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (pow (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) 3)) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b)))))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) 3)) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b)))))) 3))) * * * * [misc]progress: [ 6 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (/ (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (/ (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * * * [misc]progress: [ 11 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) (/ (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 12 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3))) (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3)))) (sqrt (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3))) (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) 3)))) (sqrt (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))))))) (/ (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (sqrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (sqrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 13 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3))) (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3))) (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3)))) (/ (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3))) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) 1) (/ (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3))) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 14 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3))) (* (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3))) (* (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3))) (* (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (cbrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 15 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (sqrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (sqrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (sqrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) 3))) (sqrt (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 a) (* a (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 16 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) 3))) (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3))) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) 1) (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) 3))) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 17 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (cbrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (cbrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))))))))) * * * * [misc]progress: [ 18 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b)))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))) (- (- 1 (+ (pow a 4) (pow b 4))) (* (* (* a a) 2) (* b b))))))))) * * * * [misc]progress: [ 19 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (/ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (/ (- (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * * * * [misc]progress: [ 20 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 21 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 22 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3)) (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3)) (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) * * * * [misc]progress: [ 23 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (/ (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (cbrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (cbrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))))) * * * * [misc]progress: [ 24 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))))) * * * * [misc]progress: [ 25 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))) (sqrt (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))))) (sqrt (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))) (sqrt (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))))) (sqrt (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) 1) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) * * * * [misc]progress: [ 26 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (/ (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (cbrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (cbrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))))) * * * * [misc]progress: [ 27 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (sqrt (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a))))))) (sqrt (+ (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))) (* (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* b b) (* a a)))))))))) * * * * [misc]progress: [ 28 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))) (sqrt (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))))) (sqrt (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))) (sqrt (+ (* (* (* b a) (* b a)) -2) (- 1 (+ (pow a 4) (pow b 4)))))) (sqrt (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) 1) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (sqrt (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) * * * * [misc]progress: [ 29 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4)))))))) * * * * [misc]progress: [ 30 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4)))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3))) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4)))))))) * * * * [misc]progress: [ 31 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* b b) (* a a)))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) 3))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) 1) (/ (- (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))))) (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) 3))) (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a))) (* (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) 4))))))) * * * * [misc]progress: [ 32 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a (* 2 a)) (* b b))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (cbrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 33 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) * [enter]simplify: Simplifying (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)))))) (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) 3)) (sqrt (+ (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4)))))))) * * * * [misc]progress: [ 34 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3)) (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3)) (+ (* (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))))))) * * * * [misc]progress: [ 35 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (* (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (cbrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (cbrt (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 39 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (sqrt (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (sqrt (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 40 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) 1) (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))))))) * * * * [misc]progress: [ 41 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) 3))) (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) 3))) (cbrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) 3)))) (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (cbrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))))) * * * * [misc]progress: [ 42 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (- (* (* 64 (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))))) (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a)))) 3))) (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (sqrt (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))))) * * * * [misc]progress: [ 43 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4) (+ (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (* (+ (* (* b b) (+ 3 a)) (* (- 1 a) (* a a))) 4))) (* (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* 2 a) (* a b)))))) (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * * * [misc]progress: [ 44 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (+ (* (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)) (sqrt (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)) (sqrt (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) * * * * [misc]progress: [ 46 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (+ (* (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)) (sqrt (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)) (sqrt (+ (- (- 1 (pow a 4)) (pow b 4)) (* (* (* b a) (* b a)) -2)))) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (pow (sqrt (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) * * * * [misc]progress: [ 47 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (sqrt (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) 3)) (sqrt (* (* 64 (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (/ (+ (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4)) (+ (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (sqrt (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3)) (sqrt (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)))))) * * * * [misc]progress: [ 48 / 8076 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 50 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 51 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 52 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 53 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 54 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))))))) * * * * [misc]progress: [ 55 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)))) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)))) (* (- a 3) (+ a 1)))))) * * * * [misc]progress: [ 56 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ a -3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ a -3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 57 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 58 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 59 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 60 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 61 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))))) (* (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))) (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))))) (* (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))) (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))))))) * * * * [misc]progress: [ 62 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * * * * [misc]progress: [ 63 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 64 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 65 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))))) * * * * [misc]progress: [ 66 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2))))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))) (* (+ a -3) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2))))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))) (* (+ a -3) (+ a 1)))))) * * * * [misc]progress: [ 67 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))) (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))) (+ (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 68 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4)))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4)))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4)))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4)))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 69 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))))) * * * * [misc]progress: [ 70 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 71 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 72 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 73 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))))))) * * * * [misc]progress: [ 74 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 75 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (- a 3) (+ a 1))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (- a 3) (+ a 1))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))))))) * * * * [misc]progress: [ 76 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- a 3)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- a 3)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 77 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a))))))))) * * * * [misc]progress: [ 78 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 79 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))))))) * * * * [misc]progress: [ 80 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 81 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 82 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 83 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 84 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 85 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 86 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (* (+ a -3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (* (+ a -3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 87 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 88 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 89 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 90 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * * * * [misc]progress: [ 91 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 92 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 93 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 a) (* a a)) (+ -3 a)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ 1 a) (* a a)) (+ -3 a)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 94 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * * * * [misc]progress: [ 95 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a -3) (+ a 1)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a -3) (+ a 1)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 96 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ a -3) (+ a 1)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ a -3) (+ a 1)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * * * * [misc]progress: [ 97 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))))))) * * * * [misc]progress: [ 98 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * * * * [misc]progress: [ 99 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 100 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * * * * [misc]progress: [ 101 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))))))) * * * * [misc]progress: [ 102 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 103 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) * * * * [misc]progress: [ 104 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 105 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 106 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (- a 3) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (- a 3) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * * * * [misc]progress: [ 107 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 108 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 109 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 110 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a 2) a) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a 2) a) (* b b)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a 2) a) (* b b))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a 2) a) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a 2) a) (* b b)))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a 2) a) (* b b))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))))) * * * * [misc]progress: [ 111 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))))))) * * * * [misc]progress: [ 112 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 113 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 3) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 3) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 114 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (* (* (* (+ a -3) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a -3) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * * * * [misc]progress: [ 115 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ a -3) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ a -3) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 116 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b))))) (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b)))) (* (- a 3) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b)))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b))))) (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* b (* (* a a) (* 2 b)))) (* (- a 3) (+ a 1))))))) * * * * [misc]progress: [ 117 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 118 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 119 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 120 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* a 2) (* b (* b a))) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* a 2) (* b (* b a))) (+ (pow a 4) (+ 1 (pow b 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (+ (* (* a 2) (* b (* b a))) (+ (pow a 4) (+ 1 (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (* a 2) (* b (* b a))) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* a 2) (* b (* b a))) (+ (pow a 4) (+ 1 (pow b 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (+ (* (* a 2) (* b (* b a))) (+ (pow a 4) (+ 1 (pow b 4)))))))) * * * * [misc]progress: [ 121 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) 1)))) * * * * [misc]progress: [ 122 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (pow (+ (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow b 4) (pow a 4)))) 3) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (pow (+ (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow b 4) (pow a 4)))) 3) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 123 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))) (pow (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))) (pow (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) 3)))) * * * * [misc]progress: [ 124 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 125 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (466 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ -3 a) (+ (* a a) (+ a 1))) (+ 9 (* (+ -3 a) a))) (* (+ 9 (* (+ -3 a) a)) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))))) (* (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ -3 a) (+ (* a a) (+ a 1))) (+ 9 (* (+ -3 a) a))) (* (+ 9 (* (+ -3 a) a)) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))))) (* (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) 2) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))))))) * * * * [misc]progress: [ 126 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ a -3)) (+ 9 (* (+ a -3) a))) (* (+ 9 (* (+ a -3) a)) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a 2)) a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ a 1) (+ a -3)) (+ 9 (* (+ a -3) a))) (* (+ 9 (* (+ a -3) a)) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a 2)) a)))))) * * * * [misc]progress: [ 127 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 128 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))))))) * * * * [misc]progress: [ 129 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 130 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 131 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 132 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 133 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 134 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 135 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))))))) * * * * [misc]progress: [ 136 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 137 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 138 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 139 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (* (+ (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (* (+ (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 140 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 141 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 142 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 143 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 144 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b))))) (+ (* (* (* a 2) a) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b))))) (+ (* (* (* a 2) a) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 145 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a -3) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a -3) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 146 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (471 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* 2 b) (* b (* a a))) (pow b 4)) (pow a 4))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* 2 b) (* b (* a a))) (pow b 4)) (pow a 4))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 147 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 148 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (pow b 4) (* b (* (* a 2) (* a b))))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (pow b 4) (* b (* (* a 2) (* a b))))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))))) * * * * [misc]progress: [ 149 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 150 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 151 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 152 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 153 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))))) * * * * [misc]progress: [ 154 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4)))) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4)))) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 155 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))))) * * * * [misc]progress: [ 156 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (+ a -3)) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ a 1) (+ a -3)) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b)))))))) * * * * [misc]progress: [ 157 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 158 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 159 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))))) * * * * [misc]progress: [ 160 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 161 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (495 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (+ (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (* (+ (+ (* (* (* b b) (* a 2)) a) (pow b 4)) (pow a 4)) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (+ (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (* (+ (+ (* (* (* b b) (* a 2)) a) (pow b 4)) (pow a 4)) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)))))))) * * * * [misc]progress: [ 162 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 163 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 164 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 165 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (* (* (* (- a 3) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a 2) (* (* a b) b)))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))) (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- a 3) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a 2) (* (* a b) b)))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))) (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))))))) * * * * [misc]progress: [ 166 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- a 3)) (+ (* (* (* a 2) a) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- a 3)) (+ (* (* (* a 2) a) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 167 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 168 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 169 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 170 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 171 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 172 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 173 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 174 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 175 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* a a) 2)))))))))) * * * * [misc]progress: [ 176 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 177 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 178 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 179 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (* (+ (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (* (+ (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 180 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 181 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* 2 (* b b))) (pow b 4)) (pow a 4))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 182 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 183 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) (* 2 b)) b) (pow b 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 184 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b))))) (+ (* (* (* a 2) a) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a 2) a) (* b b))))) (+ (* (* (* a 2) a) (* b b)) (+ (pow b 4) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 185 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a -3) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a -3) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 186 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (471 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* 2 b) (* b (* a a))) (pow b 4)) (pow a 4))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* 2 b) (* b (* a a))) (pow b 4)) (pow a 4))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 187 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 188 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (pow b 4) (* b (* (* a 2) (* a b))))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (+ (pow a 4) (+ (pow b 4) (* b (* (* a 2) (* a b))))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))))) * * * * [misc]progress: [ 189 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 190 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 191 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 192 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 193 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))))) * * * * [misc]progress: [ 194 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4)))) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4))))) (* (+ (* (* a 2) (* b (* b a))) (+ 1 (+ (pow b 4) (pow a 4)))) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 195 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))))))) * * * * [misc]progress: [ 196 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (* (* (+ a 1) (+ a -3)) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ a 1) (+ a -3)) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b)))))))) * * * * [misc]progress: [ 197 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 198 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 199 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))))) * * * * [misc]progress: [ 200 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* b (* (* a a) (* 2 b)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 201 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (495 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (+ (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (* (+ (+ (* (* (* b b) (* a 2)) a) (pow b 4)) (pow a 4)) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (+ (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (* (+ (+ (* (* (* b b) (* a 2)) a) (pow b 4)) (pow a 4)) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)))))))) * * * * [misc]progress: [ 202 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 203 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 204 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* 2 (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 205 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (* (* (* (- a 3) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a 2) (* (* a b) b)))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))) (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- a 3) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a 2) (* (* a b) b)))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))) (* (+ (* a a) (+ a 1)) (+ 9 (* a (- a 3)))))))) * * * * [misc]progress: [ 206 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- a 3)) (+ (* (* (* a 2) a) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- a 3)) (+ (* (* (* a 2) a) (* b b)) (+ (+ 1 (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 207 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 208 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* b b) (* (* a a) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 209 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (498 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (- (* (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a)))) (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a))))) (* (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a))) 3) (- (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (- (* (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a)))) (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a))))) (* (pow (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a))) 3) (- (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* b b) (* (* a 2) a))))))))) * * * * [misc]progress: [ 210 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (- (- (- 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (- (- (- 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (- (- 1 (+ (pow b 4) (pow a 4))) (* (* a (* a 2)) (* b b))))))) * * * * [misc]progress: [ 211 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 212 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 213 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)))))) * * * * [misc]progress: [ 214 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 215 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) * * * * [misc]progress: [ 216 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 217 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 218 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- a 3))))))) * * * * [misc]progress: [ 219 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1))))) * * * * [misc]progress: [ 220 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))))))) * * * * [misc]progress: [ 221 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))) (* (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))) (* (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 222 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))) (* (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))) (* (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 223 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 224 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))))))) * * * * [misc]progress: [ 225 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 226 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 227 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 228 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ a 1) (- a 3)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ a 1) (- a 3)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 229 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 230 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 231 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 232 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 233 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 234 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 235 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ a -3) (+ (+ 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a -3) (+ (+ 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))))))) * * * * [misc]progress: [ 236 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a -3) (+ (+ 1 a) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a -3) (+ (+ 1 a) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 237 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (+ -3 a) (+ a 1)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (+ -3 a) (+ a 1)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))))))) * * * * [misc]progress: [ 238 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ -3 a) (+ a 1))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ -3 a) (+ a 1))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 239 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 240 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 241 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 242 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 243 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 244 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 245 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 246 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 247 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 248 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 249 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 250 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 251 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 252 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 253 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 254 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 255 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (- a 3) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (- a 3) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 256 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 257 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ -3 a) (+ a 1))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ -3 a) (+ a 1))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 258 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 259 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 260 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 261 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 262 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 263 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))))))) * * * * [misc]progress: [ 264 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * * * * [misc]progress: [ 265 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 266 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 267 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (- a 3) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (- a 3) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 268 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ a -3) (+ a 1))) (+ (* (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ a -3) (+ a 1))) (+ (* (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 269 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 270 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 271 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))))) * * * * [misc]progress: [ 272 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 273 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 274 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* (* b (* b 2)) (* a a)) (+ 1 (+ (pow b 4) (pow a 4))))))))) * * * * [misc]progress: [ 275 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- a 3) (+ (* a a) (+ a 1)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- a 3) (+ (* a a) (+ a 1)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))))) * * * * [misc]progress: [ 276 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (* (* (* (+ -3 a) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (* (* (* (+ -3 a) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 277 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ a 1))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ a 1))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 278 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (* (* (* (+ -3 a) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))) (* (* (* (+ -3 a) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) * * * * [misc]progress: [ 279 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 280 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 281 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 282 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 283 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) 1) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) 1) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 284 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (+ a 1))) (- 9 (* a (- 3 a)))) (pow (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a)) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (+ a 1))) (- 9 (* a (- 3 a)))) (pow (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a)) 3)))) * * * * [misc]progress: [ 285 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* b b) (* a 2)) a))))))) * * * * [misc]progress: [ 286 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* a a) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* a a) (* b b))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 287 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ a -3) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ a -3) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 288 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (466 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ a -3) (+ a 1)) (+ (* (+ a -3) a) 9)) (* (+ (* (+ a -3) a) 9) (* (+ (* a a) (+ a 1)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ a -3) (+ a 1)) (+ (* (+ a -3) a) 9)) (* (+ (* (+ a -3) a) 9) (* (+ (* a a) (+ a 1)) (+ a 1))))))) * * * * [misc]progress: [ 289 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 290 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* (* b a) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* (* b a) a)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* (* b a) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 b) (* (* b a) a)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (+ a 1))))))) * * * * [misc]progress: [ 291 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 292 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 293 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 294 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 295 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 296 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 297 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a -3) (+ a 1)))) (* (+ a -3) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a -3) (+ a 1)))) (* (+ a -3) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 298 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (- a 3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (- a 3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 299 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 300 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))))) * * * * [misc]progress: [ 301 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 302 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 303 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 304 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 305 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 306 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 307 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 308 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ a -3) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ a -3) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 309 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 310 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 311 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 312 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1)))))))) * * * * [misc]progress: [ 313 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 314 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))))))) * * * * [misc]progress: [ 315 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))))) * * * * [misc]progress: [ 316 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * * * * [misc]progress: [ 317 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 318 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (+ (* a (+ a -3)) 9) (* (+ (* a a) (+ a 1)) (+ (* a (+ a -3)) 9))) (* (* (+ a 1) (* (+ a -3) (+ a 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a (+ a -3)) 9) (* (+ (* a a) (+ a 1)) (+ (* a (+ a -3)) 9))) (* (* (+ a 1) (* (+ a -3) (+ a 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 319 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 320 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 321 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 322 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) (* (+ a 1) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) (* (+ a 1) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 323 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* 1 (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* 1 (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 324 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 325 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 326 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* 2 b) b))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* 2 b) b))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 327 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a 2) (* a b)))) (* (* (+ (+ a 1) (* a a)) (+ a 1)) (+ 9 (* a (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a 2) (* a b)))) (* (* (+ (+ a 1) (* a a)) (+ a 1)) (+ 9 (* a (+ a -3)))))))) * * * * [misc]progress: [ 328 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ 9 (* a (+ a -3)))) (* (+ 9 (* a (+ a -3))) (* (+ (+ a 1) (* a a)) (+ a 1)))) (* (+ (* (* a 2) (* (* a b) b)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a -3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ 9 (* a (+ a -3)))) (* (+ 9 (* a (+ a -3))) (* (+ (+ a 1) (* a a)) (+ a 1)))) (* (+ (* (* a 2) (* (* a b) b)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a -3))))) * * * * [misc]progress: [ 329 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 330 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1))))))) * * * * [misc]progress: [ 331 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 332 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 333 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 334 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 335 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 336 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 337 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a -3) (+ a 1)))) (* (+ a -3) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a -3) (+ a 1)))) (* (+ a -3) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 338 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (- a 3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (- a 3) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 339 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 340 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))))) * * * * [misc]progress: [ 341 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 342 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 343 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 344 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 345 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 346 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 347 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 348 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ a -3) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ a -3) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 349 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 350 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 351 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 352 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1)))))))) * * * * [misc]progress: [ 353 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a 1)) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 354 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))))))) * * * * [misc]progress: [ 355 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))))) * * * * [misc]progress: [ 356 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (* (- 3 a) 3)))) (* (+ a 1) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * * * * [misc]progress: [ 357 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (+ -3 a) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 358 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (+ (* a (+ a -3)) 9) (* (+ (* a a) (+ a 1)) (+ (* a (+ a -3)) 9))) (* (* (+ a 1) (* (+ a -3) (+ a 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a (+ a -3)) 9) (* (+ (* a a) (+ a 1)) (+ (* a (+ a -3)) 9))) (* (* (+ a 1) (* (+ a -3) (+ a 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 359 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (* (+ (* a a) (+ a 1)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 360 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 361 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 362 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) (* (+ a 1) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))))) (* (+ a 1) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 363 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* 1 (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* 1 (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 364 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (407 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 365 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 366 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* 2 b) b))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a a) (* (* 2 b) b))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 367 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a 2) (* a b)))) (* (* (+ (+ a 1) (* a a)) (+ a 1)) (+ 9 (* a (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a -3) (+ (+ a 1) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a 2) (* a b)))) (* (* (+ (+ a 1) (* a a)) (+ a 1)) (+ 9 (* a (+ a -3)))))))) * * * * [misc]progress: [ 368 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ 9 (* a (+ a -3)))) (* (+ 9 (* a (+ a -3))) (* (+ (+ a 1) (* a a)) (+ a 1)))) (* (+ (* (* a 2) (* (* a b) b)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a -3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ 9 (* a (+ a -3)))) (* (+ 9 (* a (+ a -3))) (* (+ (+ a 1) (* a a)) (+ a 1)))) (* (+ (* (* a 2) (* (* a b) b)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a -3))))) * * * * [misc]progress: [ 369 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 370 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow b 4) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1))))))) * * * * [misc]progress: [ 371 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (+ (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 372 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a 2) (* a b))))) (- (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a 2) (* a b)))) (* 4 (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (* (+ a 1) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a 2) (* a b))))) (- (- (- 1 (+ (pow b 4) (pow a 4))) (* b (* (* a 2) (* a b)))) (* 4 (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (* (+ a 1) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 373 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)))))) * * * * [misc]progress: [ 374 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 375 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 376 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a)))))))) * * * * [misc]progress: [ 377 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1) (+ a -3)) (* (+ (+ 1 a) (* a a)) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1) (+ a -3)) (* (+ (+ 1 a) (* a a)) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)))))) * * * * [misc]progress: [ 378 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 379 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ a -3)) (* (+ a 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ a -3)))) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ a -3)) (* (+ a 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)))))) * * * * [misc]progress: [ 380 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))))))) * * * * [misc]progress: [ 381 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)) (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (* a a) (* (- 3 a) 3))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)) (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (* a a) (* (- 3 a) 3))) (+ (+ 1 a) (* a a))) (* (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) 1)))))) * * * * [misc]progress: [ 382 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))))))) * * * * [misc]progress: [ 383 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))))))))) * * * * [misc]progress: [ 384 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 385 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 a) (* a a))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 a) (* a a))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 386 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 387 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 388 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ 1 a) (* a a))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ 1 a) (* a a))) (* (+ a 1) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 389 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 390 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (- a 3) (+ a 1))) (* (+ (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (- a 3) (+ a 1))) (* (+ (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 391 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 392 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))) * * * * [misc]progress: [ 393 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 394 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))))))) * * * * [misc]progress: [ 395 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))))))) * * * * [misc]progress: [ 396 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ a 1))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ a 1))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))))))) * * * * [misc]progress: [ 397 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 398 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))))))) * * * * [misc]progress: [ 399 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 400 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 401 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))))))) * * * * [misc]progress: [ 402 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 403 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 404 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 405 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 406 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))))))) * * * * [misc]progress: [ 407 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))))))) * * * * [misc]progress: [ 408 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))))))) * * * * [misc]progress: [ 409 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))))))) * * * * [misc]progress: [ 410 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ a 1) (+ a -3))) (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ a 1) (+ a -3))) (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 411 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))))))) * * * * [misc]progress: [ 412 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 413 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))))) * * * * [misc]progress: [ 414 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 415 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 416 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 417 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ -3 a)))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (+ -3 a)))) (* (+ (+ 1 (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))))) * * * * [misc]progress: [ 418 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 419 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ a 1) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ a 1) (+ a -3)))))) * * * * [misc]progress: [ 420 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 421 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))))))))) * * * * [misc]progress: [ 422 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 423 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 424 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 425 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))))))) * * * * [misc]progress: [ 426 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 427 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))))))) * * * * [misc]progress: [ 428 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (+ -3 a)))))))) * * * * [misc]progress: [ 429 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))))))) * * * * [misc]progress: [ 430 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ a 1) (+ a -3))) (+ (* (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ a 1) (+ a -3))) (+ (* (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * * * * [misc]progress: [ 431 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (- a 3)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (- a 3)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 432 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 433 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))))) * * * * [misc]progress: [ 434 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 435 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 436 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 437 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (- a 3))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* a a) (+ a 1)) (- a 3))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))))) * * * * [misc]progress: [ 438 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 439 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (* a a) (+ a 1))))) (* (+ a 1) (+ -3 a))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (* a a) (+ a 1))))) (* (+ a 1) (+ -3 a))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 440 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * * * * [misc]progress: [ 441 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 442 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 443 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 444 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 445 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) 1) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) 1) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 446 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -3 a) (+ (* (+ -3 a) a) 9))) (pow (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 b) (* (* b a) a))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (* (+ -3 a) (+ (* (+ -3 a) a) 9))) (pow (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* 2 b) (* (* b a) a))) 3)))) * * * * [misc]progress: [ 447 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ 9 (* (+ -3 a) a))) (* (* (+ (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ 9 (* (+ -3 a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* 2 b) (* (* b a) a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ 9 (* (+ -3 a) a))) (* (* (+ (+ a 1) (* a a)) (+ (+ a 1) (* a a))) (+ 9 (* (+ -3 a) a))))))) * * * * [misc]progress: [ 448 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * * * * [misc]progress: [ 449 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* a 2) (* (* b b) a)) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* a 2) (* (* b b) a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* (+ -3 a) a))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* a 2) (* (* b b) a)) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* a 2) (* (* b b) a)) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* (+ -3 a) a))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))))))) * * * * [misc]progress: [ 450 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (497 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ a -3)) (+ 9 (* (+ a -3) a))) (* (+ (+ a 1) (* a a)) (* (+ (+ a 1) (* a a)) (+ a -3)))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ a 1) (+ a -3)) (+ 9 (* (+ a -3) a))) (* (+ (+ a 1) (* a a)) (* (+ (+ a 1) (* a a)) (+ a -3)))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 451 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* a a) (+ a 1))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 452 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (466 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* b (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* b (* a a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* b (* a a))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (- a 3) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 453 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 454 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 455 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 456 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 457 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 458 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 459 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ a 1) (- a 3))) (* (+ a 1) (- a 3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ a 1) (- a 3))) (* (+ a 1) (- a 3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 460 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 461 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 462 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 463 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 464 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 465 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 466 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 467 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 468 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ a -3)))))))) * * * * [misc]progress: [ 469 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))))) * * * * [misc]progress: [ 470 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) 1) (* (* (+ a 1) (- a 3)) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) 1) (* (* (+ a 1) (- a 3)) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))))))) * * * * [misc]progress: [ 471 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 472 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 a) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 a) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 473 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 474 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))))))) * * * * [misc]progress: [ 475 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 476 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * * * * [misc]progress: [ 477 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 478 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2))))) (* (+ (+ a 1) (* a a)) (+ (* (+ -3 a) a) 9))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2))))) (* (+ (+ a 1) (* a a)) (+ (* (+ -3 a) a) 9))))) * * * * [misc]progress: [ 479 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a 1) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a 1) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 480 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a 1))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a 1))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * * * * [misc]progress: [ 481 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 482 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 483 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 484 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (- a 3) a) 9))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (- a 3) a) 9))))) * * * * [misc]progress: [ 485 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 486 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4))) (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))) (* (+ a -3) (+ 9 (* (+ a -3) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4))) (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))) (* (+ a -3) (+ 9 (* (+ a -3) a))))))) * * * * [misc]progress: [ 487 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* (* a 2) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* (* a 2) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 488 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ 9 (* (+ -3 a) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (+ -3 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ 9 (* (+ -3 a) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (+ -3 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * * * * [misc]progress: [ 489 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 490 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ -3 a) a) 9) (* (+ (+ a 1) (* a a)) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a 2)) a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ -3 a) a) 9) (* (+ (+ a 1) (* a a)) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * * * * [misc]progress: [ 491 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 492 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (+ a -3) a) 9)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ a -3) a) 9)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 493 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 494 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 495 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 496 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 497 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 498 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 499 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ a 1) (- a 3))) (* (+ a 1) (- a 3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) (* (+ a 1) (- a 3))) (* (+ a 1) (- a 3))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 500 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 501 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1)) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 502 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 503 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (+ (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 504 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 505 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) (+ (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 506 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 507 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 508 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (* a a) (+ a 1)) (+ a -3)))))))) * * * * [misc]progress: [ 509 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (+ a 1)) (+ -3 a))))))) * * * * [misc]progress: [ 510 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) 1) (* (* (+ a 1) (- a 3)) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) 1) (* (* (+ a 1) (- a 3)) (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))))))) * * * * [misc]progress: [ 511 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 512 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 a) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ 1 a) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 513 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 514 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* b (* b 2)) (* a a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ -3 a) a)))))))) * * * * [misc]progress: [ 515 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (+ (* a a) (* 3 (- 3 a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 516 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * * * * [misc]progress: [ 517 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 518 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (488 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2))))) (* (+ (+ a 1) (* a a)) (+ (* (+ -3 a) a) 9))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ a 1) (* a a)) (+ -3 a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* (* b b) 2))))) (* (+ (+ a 1) (* a a)) (+ (* (+ -3 a) a) 9))))) * * * * [misc]progress: [ 519 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a 1) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a 1) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 520 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a 1))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ a 1))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * * * * [misc]progress: [ 521 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (+ 1 a) (* a a)) (- a 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 522 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 523 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 524 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (- a 3) a) 9))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* a 2) (* (* b b) a))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (- a 3) a) 9))))) * * * * [misc]progress: [ 525 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 526 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4))) (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))) (* (+ a -3) (+ 9 (* (+ a -3) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4))) (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1))) (* (+ a -3) (+ 9 (* (+ a -3) a))))))) * * * * [misc]progress: [ 527 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* (* a 2) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* (* a 2) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 528 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ 9 (* (+ -3 a) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (+ -3 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ 9 (* (+ -3 a) a))) (* (+ (* a a) (+ a 1)) (+ 9 (* (+ -3 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a 2) (* a b)))))))) * * * * [misc]progress: [ 529 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ 9 (* (- a 3) a))) (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 530 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ -3 a) a) 9) (* (+ (+ a 1) (* a a)) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a 2)) a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ -3 a) a) 9) (* (+ (+ a 1) (* a a)) (+ -3 a))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a 2)) a)))))) * * * * [misc]progress: [ 531 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* (- 3 a) 3)) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 532 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (+ a -3) a) 9)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ a -3) a) 9)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 533 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (+ (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* a a) (* 3 (- 3 a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 534 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (* (* (* (- a 3) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1)))) (* (+ 9 (* (- a 3) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* b b) a))))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* b b) a))) (* 4 (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- a 3) (* (+ (* a a) (+ a 1)) (+ (* a a) (+ a 1)))) (* (+ 9 (* (- a 3) a)) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* b b) a))))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* b b) a))) (* 4 (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 535 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 536 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * * * * [misc]progress: [ 537 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 538 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 539 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))))) * * * * [misc]progress: [ 540 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 541 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (* (* (+ a 1) (- a 3)) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (* (* (+ a 1) (- a 3)) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 542 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ -3 a))))))) * * * * [misc]progress: [ 543 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))))) (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))))) (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))))))) * * * * [misc]progress: [ 544 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 545 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 546 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 547 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 548 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 549 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))))))) * * * * [misc]progress: [ 550 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 551 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 552 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))))))) * * * * [misc]progress: [ 553 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))))) (* (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))))) (* (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 554 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 555 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))))))) * * * * [misc]progress: [ 556 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 557 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))))))) * * * * [misc]progress: [ 558 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 559 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))))) * * * * [misc]progress: [ 560 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 561 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 562 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ a 1) (- a 3))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ a 1) (- a 3))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 563 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 564 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 565 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 566 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 567 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 568 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 569 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 570 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 571 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 572 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 573 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 574 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 575 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 576 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 577 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 578 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 579 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))))))) * * * * [misc]progress: [ 580 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 581 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- a 3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 582 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 583 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 584 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) * * * * [misc]progress: [ 585 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 586 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 587 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 588 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 589 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) * * * * [misc]progress: [ 590 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 591 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 592 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ a 1) (- a 3)) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ a 1) (- a 3)) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 593 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 594 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * * * * [misc]progress: [ 595 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))))) * * * * [misc]progress: [ 596 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 597 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))))) * * * * [misc]progress: [ 598 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a)))))))) * * * * [misc]progress: [ 599 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 600 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (+ 1 a) (* a a)) (+ -3 a)))))) * * * * [misc]progress: [ 601 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ a 1) (+ -3 a))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ a 1) (+ -3 a))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 602 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (- 9 (* a (- 3 a)))) (* (+ a 1) (- a 3))) (pow (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (- 9 (* a (- 3 a)))) (* (+ a 1) (- a 3))) (pow (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) 3)))) * * * * [misc]progress: [ 603 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))))) * * * * [misc]progress: [ 604 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 605 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 606 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a)))))) * * * * [misc]progress: [ 607 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 608 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3))) (+ 9 (* (- a 3) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3))) (+ 9 (* (- a 3) a))))))) * * * * [misc]progress: [ 609 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* (+ -3 a) a) 9)) (* (+ (* (+ -3 a) a) 9) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow a 4) (+ 1 (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (+ -3 a) a) 9)) (* (+ (* (+ -3 a) a) 9) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow a 4) (+ 1 (pow b 4)))))))) * * * * [misc]progress: [ 610 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a 2) (* b (* b a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ 9 (* (+ a -3) a)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a 2) (* b (* b a)))) (* (+ a 1) (+ 9 (* (+ a -3) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a 2) (* b (* b a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (+ 9 (* (+ a -3) a)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a 2) (* b (* b a)))) (* (+ a 1) (+ 9 (* (+ a -3) a))))))) * * * * [misc]progress: [ 611 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (497 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 9 (* (+ a 1) (+ a -3))) (* (* (+ a -3) a) (* (+ a 1) (+ a -3))))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 9 (* (+ a 1) (+ a -3))) (* (* (+ a -3) a) (* (+ a 1) (+ a -3))))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ 1 (pow b 4)))))))) * * * * [misc]progress: [ 612 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1))) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1)))) (* (+ (* 9 (* (+ a 1) (+ -3 a))) (* (* (+ -3 a) a) (* (+ a 1) (+ -3 a)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1))) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ (pow a 4) 1)))) (* (+ (* 9 (* (+ a 1) (+ -3 a))) (* (* (+ -3 a) a) (* (+ a 1) (+ -3 a)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))))))) * * * * [misc]progress: [ 613 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a)))))) * * * * [misc]progress: [ 614 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (+ -3 a) a) 9))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (+ -3 a) a) 9))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 615 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 616 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 617 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 618 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))))) * * * * [misc]progress: [ 619 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (+ (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (+ (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 620 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 621 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ a 1) (+ a -3)) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ a 1) (+ a -3)) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 622 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 623 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (+ (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (+ (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 624 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 625 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 626 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 627 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 628 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 629 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))))) (* (* (+ (+ a 1) (* a a)) (+ (* (- a 3) a) 9)) (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))))) (* (* (+ (+ a 1) (* a a)) (+ (* (- a 3) a) 9)) (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 630 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 631 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 632 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 633 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 634 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (481 enodes) * [exit]simplify: Simplified to (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (* (* (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (pow a 4) (* (* (* b b) (* a 2)) a)) (pow b 4))) (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (* (* (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (pow a 4) (* (* (* b b) (* a 2)) a)) (pow b 4))) (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 635 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 636 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 637 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 638 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (468 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 639 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))))) * * * * [misc]progress: [ 640 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 641 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 642 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ a 1) (+ -3 a))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ 9 (* (+ -3 a) a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ a 1) (+ -3 a))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ 9 (* (+ -3 a) a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 643 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))))) * * * * [misc]progress: [ 644 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))))) * * * * [misc]progress: [ 645 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 646 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ 9 (* (+ -3 a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ 9 (* (+ -3 a) a))))))) * * * * [misc]progress: [ 647 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 648 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ a 1) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ a 1) (+ a -3)))))) * * * * [misc]progress: [ 649 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a)))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a)))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 650 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ -3 a) a) 9) (* (+ a 1) (+ (* a a) (+ a 1)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* (+ -3 a) a) 9)) (+ (* b (* (* a 2) (* a b))) (+ (+ 1 (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ -3 a) a) 9) (* (+ a 1) (+ (* a a) (+ a 1)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* (+ -3 a) a) 9)) (+ (* b (* (* a 2) (* a b))) (+ (+ 1 (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 651 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (* (+ (* (+ a -3) a) 9) (* (+ (+ a 1) (* a a)) (+ a -3)))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* a 2)) a)) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (* (+ (* (+ a -3) a) 9) (* (+ (+ a 1) (* a a)) (+ a -3)))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* a 2)) a)) (+ a 1))))) * * * * [misc]progress: [ 652 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- a 3)) (+ (* (- a 3) a) 9)) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- a 3)) (+ (* (- a 3) a) 9)) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))))) * * * * [misc]progress: [ 653 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 654 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (* (+ (* b (* (* a a) (* 2 b))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ a -3) a) 9)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (* (+ (* b (* (* a a) (* 2 b))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ a -3) a) 9)))))) * * * * [misc]progress: [ 655 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 656 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 657 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 658 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))))) * * * * [misc]progress: [ 659 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (+ (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) (+ (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 660 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 661 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ a 1) (+ a -3)) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1))))) (* (* (+ a 1) (+ a -3)) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 662 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 663 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (+ (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (+ (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 664 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 665 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 666 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 667 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (* (+ (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (pow a 4))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a))) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 668 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 669 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))))) (* (* (+ (+ a 1) (* a a)) (+ (* (- a 3) a) 9)) (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* a (* a 2)) (* b b)))))) (* (* (+ (+ a 1) (* a a)) (+ (* (- a 3) a) 9)) (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 670 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ 1 (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 671 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3)))))))) * * * * [misc]progress: [ 672 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (- a 3) a) 9) (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3)))) (+ (* (* (* (+ a 1) (- a 3)) (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 673 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 674 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (481 enodes) * [exit]simplify: Simplified to (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (* (* (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (pow a 4) (* (* (* b b) (* a 2)) a)) (pow b 4))) (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (* (* (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (pow a 4) (* (* (* b b) (* a 2)) a)) (pow b 4))) (* (+ 9 (* (+ -3 a) a)) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 675 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 676 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4))))) (* (+ (* (* (* a 2) (* a b)) b) (+ (pow a 4) (+ 1 (pow b 4)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 677 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 678 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (468 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* a a) (* b (* b 2)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 679 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))))) * * * * [misc]progress: [ 680 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 681 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 682 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ a 1) (+ -3 a))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ 9 (* (+ -3 a) a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ a 1) (+ -3 a))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* b b) (* (* a 2) a))) (* (+ 9 (* (+ -3 a) a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))))))) * * * * [misc]progress: [ 683 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))))) * * * * [misc]progress: [ 684 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (* (- 3 a) 3) (* a a)) (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))))))) * * * * [misc]progress: [ 685 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 686 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ 9 (* (+ -3 a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) a) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ 9 (* (+ -3 a) a))))))) * * * * [misc]progress: [ 687 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 688 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ a 1) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4))))) (* (+ (* (* a a) (* (* b b) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ a 1) (+ a -3)))))) * * * * [misc]progress: [ 689 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a)))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a)))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 690 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ -3 a) a) 9) (* (+ a 1) (+ (* a a) (+ a 1)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* (+ -3 a) a) 9)) (+ (* b (* (* a 2) (* a b))) (+ (+ 1 (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ -3 a) a) 9) (* (+ a 1) (+ (* a a) (+ a 1)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* (+ -3 a) a) 9)) (+ (* b (* (* a 2) (* a b))) (+ (+ 1 (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 691 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (* (+ (* (+ a -3) a) 9) (* (+ (+ a 1) (* a a)) (+ a -3)))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* a 2)) a)) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (* (+ (* (+ a -3) a) 9) (* (+ (+ a 1) (* a a)) (+ a -3)))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) (* a 2)) a)) (+ a 1))))) * * * * [misc]progress: [ 692 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- a 3)) (+ (* (- a 3) a) 9)) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (- a 3)) (+ (* (- a 3) a) 9)) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* 2 b) (* a (* a b)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))))) * * * * [misc]progress: [ 693 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (* (+ (+ 1 a) (* a a)) (* (+ a 1) (- a 3))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 694 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (* (+ (* b (* (* a a) (* 2 b))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ a -3) a) 9)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ a -3))) (* (+ (* b (* (* a a) (* 2 b))) (+ (+ 1 (pow b 4)) (pow a 4))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ a -3) a) 9)))))) * * * * [misc]progress: [ 695 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) 3)) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (+ (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) 3)) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 696 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (- 9 (* a (- 3 a))))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (+ 1 a))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (- 9 (* a (- 3 a))))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))))) * * * * [misc]progress: [ 697 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 698 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 699 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) 1)) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) 1)) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) 1)) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) 1)) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) 1))))) * * * * [misc]progress: [ 700 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 701 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 702 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a -3) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 703 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (- a 3)) (* (+ a 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (- a 3)) (* (+ a 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)))))) * * * * [misc]progress: [ 704 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a -3) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a -3) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 705 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (+ (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (+ (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1)))))) * * * * [misc]progress: [ 706 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 707 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 708 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 709 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4)))) 1) (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4)))) 1)) (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4)))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4)))) 1) (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4)))) 1)) (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4)))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 710 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))) (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))) (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 711 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1))))) * * * * [misc]progress: [ 712 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 713 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 714 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ a -3) (+ a 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ a -3) (+ a 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 715 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) 1) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) 1) (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) 1))))) * * * * [misc]progress: [ 716 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1) (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1)) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1) (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1)) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 717 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 718 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 719 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 720 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 721 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 722 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* a a) (+ a 1)) (- a 3))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 723 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (+ a 1) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (+ a 1) (+ -3 a)))))) * * * * [misc]progress: [ 724 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 725 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 726 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 727 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))))))) * * * * [misc]progress: [ 728 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 729 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))))))))) * * * * [misc]progress: [ 730 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 731 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 732 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 733 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 734 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 735 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 736 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 737 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))))))) * * * * [misc]progress: [ 738 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))))))) * * * * [misc]progress: [ 739 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 740 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 741 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))))) * * * * [misc]progress: [ 742 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))))) * * * * [misc]progress: [ 743 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))))) * * * * [misc]progress: [ 744 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))))) * * * * [misc]progress: [ 745 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 746 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))))))))) * * * * [misc]progress: [ 747 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 748 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 749 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))))))) * * * * [misc]progress: [ 750 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow a 4) (+ (pow b 4) (* (* (* b b) (* a a)) 2)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow a 4) (+ (pow b 4) (* (* (* b b) (* a a)) 2)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 751 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 752 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 753 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 754 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ a 1) (+ -3 a))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ a 1) (+ -3 a))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))))))) * * * * [misc]progress: [ 755 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))))))) * * * * [misc]progress: [ 756 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (pow a 4) (+ (* (* (* b b) (* a a)) 2) (pow b 4)))))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 757 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))))) * * * * [misc]progress: [ 758 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 759 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 760 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 761 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 762 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ a -3) (+ (+ 1 a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ a -3) (+ (+ 1 a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 763 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- a 3)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 764 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 765 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))))) * * * * [misc]progress: [ 766 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))))) * * * * [misc]progress: [ 767 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))))) * * * * [misc]progress: [ 768 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 769 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 770 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) 3) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (pow (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) 3) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 771 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 772 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 773 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (+ (+ 1 a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (- a 3) (+ (+ 1 a) (* a a))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 774 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (+ a -3))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 775 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 776 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 777 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))))))) * * * * [misc]progress: [ 778 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 779 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 780 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 781 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 782 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))))))) * * * * [misc]progress: [ 783 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (* (* (+ a -3) (+ a 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (* (* (+ a -3) (+ a 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 784 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 785 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 786 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))))) * * * * [misc]progress: [ 787 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 788 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 789 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 790 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 791 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 792 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) 1)))) * * * * [misc]progress: [ 793 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1)))) * * * * [misc]progress: [ 794 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (- a 3) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (- a 3) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 795 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 796 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1)))) * * * * [misc]progress: [ 797 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 798 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))))) * * * * [misc]progress: [ 799 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))))))) * * * * [misc]progress: [ 800 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 801 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 802 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))))) * * * * [misc]progress: [ 803 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (- a 3) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (- a 3) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 804 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 805 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 806 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))))) * * * * [misc]progress: [ 807 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))))) * * * * [misc]progress: [ 808 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 809 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * * * * [misc]progress: [ 810 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 811 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 812 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 813 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 814 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))))))) * * * * [misc]progress: [ 815 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 816 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 817 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (* (+ (+ (* (* (* b b) (* a a)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))))))) * * * * [misc]progress: [ 818 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 819 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 820 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (+ (+ 1 (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))) (* (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* 2 (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 821 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 822 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* 2 a) a) (* b b)) (pow b 4)))))))) * * * * [misc]progress: [ 823 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (* (* (+ a -3) (+ a 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (* (* (+ a -3) (+ a 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 824 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 825 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 826 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))))) * * * * [misc]progress: [ 827 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (* (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 828 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* b b) (* a a)) 2))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 829 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 830 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 831 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 832 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) 1)))) * * * * [misc]progress: [ 833 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (* (+ (+ (* (* 2 (* a a)) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) 1)))) * * * * [misc]progress: [ 834 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (- a 3) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (- a 3) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 835 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 836 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))) 1)))) * * * * [misc]progress: [ 837 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 838 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))))) * * * * [misc]progress: [ 839 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* a a)) (* b b)) (pow b 4)))))))) * * * * [misc]progress: [ 840 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 841 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ 1 a) (* a a)) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 842 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (+ (+ 1 a) (* a a)) (+ a -3))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))))) * * * * [misc]progress: [ 843 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (- a 3) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (- a 3) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 844 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 845 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* b b) (* a a)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 846 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2))))))) * * * * [misc]progress: [ 847 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))))) * * * * [misc]progress: [ 848 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 849 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* 2 (* a a))) (pow b 4)) (pow a 4)))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * * * * [misc]progress: [ 850 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 851 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 852 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 853 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 854 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- a 3) (+ a 1))))))) * * * * [misc]progress: [ 855 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 856 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 857 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* 4 (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (- (* 4 (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (* (+ (* (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* 4 (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (- (* 4 (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))))) * * * * [misc]progress: [ 858 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) 4))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 859 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 860 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))))) * * * * [misc]progress: [ 861 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))))) * * * * [misc]progress: [ 862 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 863 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ -3 a)) (* (+ (+ 1 a) (* a a)) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ -3 a)) (* (+ (+ 1 a) (* a a)) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))))) * * * * [misc]progress: [ 864 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 865 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) 1)) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) 1)) (* (+ -3 a) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) 1)) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) 1)) (* (+ -3 a) (+ a 1)))))) * * * * [misc]progress: [ 866 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1)))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1)))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 867 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))))) * * * * [misc]progress: [ 868 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 869 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 870 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 871 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 872 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 873 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 874 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 875 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 876 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ -3 a) (+ a 1))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ -3 a) (+ a 1))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 877 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 878 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (480 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ (pow a 4) 1)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (+ (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (+ (pow a 4) 1)))) 1)))) * * * * [misc]progress: [ 879 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))))) * * * * [misc]progress: [ 880 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 881 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 882 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 883 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 884 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (* a a) (+ a 1)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (* a a) (+ a 1)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 885 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ a 1) (+ a -3)) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ a 1) (+ a -3)) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 886 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 887 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))))))) * * * * [misc]progress: [ 888 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 889 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))))) * * * * [misc]progress: [ 890 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 891 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))))) * * * * [misc]progress: [ 892 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 893 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 894 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 895 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 896 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 897 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 898 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 899 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 900 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 901 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4))) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (pow b 4)))))))) * * * * [misc]progress: [ 902 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))))))) * * * * [misc]progress: [ 903 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (- a 3) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (- a 3) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 904 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 905 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (- a 3)) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (* (+ (+ 1 a) (* a a)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))))) * * * * [misc]progress: [ 906 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ 1 a) (* a a)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 907 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ 1 (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))))) * * * * [misc]progress: [ 908 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (* (* b b) (* (* 2 a) a)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 909 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))))))) * * * * [misc]progress: [ 910 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 911 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 912 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 913 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 914 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))))))) * * * * [misc]progress: [ 915 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) (* (* (- a 3) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 916 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ a 1) (+ a -3))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ a 1) (+ a -3))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 917 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 918 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ 1 a) (* a a)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 919 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 920 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 921 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 922 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 923 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ -3 a) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ -3 a) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 924 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a -3) (+ (* a a) (+ a 1))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a -3) (+ (* a a) (+ a 1))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 925 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ a 1) (+ a -3))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ a 1) (+ a -3))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 926 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (489 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* a a) (* 2 b)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* a a) (* 2 b))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ a 1) (+ a -3))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* a a) (* 2 b)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* a a) (* 2 b))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ a 1) (+ a -3))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 927 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))))) * * * * [misc]progress: [ 928 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 929 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 930 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 931 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))))))) * * * * [misc]progress: [ 932 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (403 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (pow (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (pow (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3)))) * * * * [misc]progress: [ 933 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (434 enodes) * [exit]simplify: Simplified to (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (pow b 4) 1)))))))) * * * * [misc]progress: [ 934 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1)))) (- 9 (* a (- 3 a)))) (* (+ (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* a a) (+ a 1)))) (- 9 (* a (- 3 a)))) (* (+ (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ (* (* b b) (* (* a a) 2)) (+ 1 (+ (pow a 4) (pow b 4)))) (+ a 1)))))) * * * * [misc]progress: [ 935 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (479 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ (* a (- a 3)) 9))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ (* a (- a 3)) 9))) (* (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (+ (pow b 4) 1))))))) * * * * [misc]progress: [ 936 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (- a 3)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ a 1) (- a 3)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 937 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 938 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 939 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 940 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 941 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 942 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 943 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 944 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 945 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (- a 3) (+ a 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (- a 3) (+ a 1))))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (- a 3) (+ a 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (- a 3) (+ a 1))))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 946 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 947 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))))) (+ (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))))) (+ (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))))) * * * * [misc]progress: [ 948 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 949 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 950 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 951 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1))))) * * * * [misc]progress: [ 952 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 953 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (484 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))))) * * * * [misc]progress: [ 954 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 955 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (* a a) (+ a 1))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (* a a) (+ a 1))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 956 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (483 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ -3 a) a) 9) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (+ -3 a) a) 9) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) 1)))) * * * * [misc]progress: [ 957 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 958 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 959 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 960 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 961 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 962 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (* (- 9 (* a (- 3 a))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (- 9 (* a (- 3 a))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 963 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 964 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ a 1) (* a a)) (- a 3))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ a 1) (* a a)) (- a 3))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 965 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ a -3) (+ a 1))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ a -3) (+ a 1))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 966 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ -3 a) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ -3 a) a) 9)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ -3 a) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ -3 a) a) 9)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 967 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 968 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 969 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 970 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 971 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) 1)))) * * * * [misc]progress: [ 972 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 973 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 974 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 975 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (+ a -3))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (+ (* (+ a -3) a) 9))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (+ a -3))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (+ (* (+ a -3) a) 9))))) * * * * [misc]progress: [ 976 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ a -3) (+ a 1)))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ a -3) a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ a -3) (+ a 1)))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ a -3) a)))))) * * * * [misc]progress: [ 977 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 978 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 979 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 980 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 981 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 982 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ a 1) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 983 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 984 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 985 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (- a 3) (+ a 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (- a 3) (+ a 1))))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (- a 3) (+ a 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (- a 3) (+ a 1))))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 986 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 987 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))))) (+ (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (* (+ (* (- 3 a) 3) (* a a)) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))))) (+ (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))))) * * * * [misc]progress: [ 988 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 989 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (pow b 4))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 990 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 991 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (* (* a a) (* (* b b) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) 1))))) * * * * [misc]progress: [ 992 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 993 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (484 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))))))) * * * * [misc]progress: [ 994 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) (* (* (+ a 1) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))))) * * * * [misc]progress: [ 995 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (* a a) (+ a 1))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (* a a) (+ a 1))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 996 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (483 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (+ -3 a) a) 9) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (+ -3 a) a) 9) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (+ -3 a)))) (+ (* (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) 1)))) * * * * [misc]progress: [ 997 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) 1) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 998 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (+ (* (* b b) (* (* a a) 2)) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 999 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1000 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (430 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 1001 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ a 1) (+ (* (- 3 a) 3) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 1002 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (* (- 9 (* a (- 3 a))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (- 9 (* a (- 3 a))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 1003 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (+ 1 a) (* a a)) (+ a -3)))) (+ (+ 1 (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 1004 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ a 1) (* a a)) (- a 3))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ (+ a 1) (* a a)) (- a 3))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (+ a 1) (* a a)) (+ 9 (* (- a 3) a))) (+ (* (* b b) (* a (* 2 a))) (+ 1 (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 1005 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ a -3) (+ a 1))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 a) (* a a)))) (* (+ a -3) (+ a 1))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 1006 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ -3 a) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ -3 a) a) 9)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ -3 a) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* (+ -3 a) a) 9)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 1007 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 1008 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 1009 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1010 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (382 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (* 2 (* (* a a) (* b b))) (+ 1 (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 1011 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) 1)))) * * * * [misc]progress: [ 1012 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (368 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 1013 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 1014 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 1015 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (+ a -3))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (+ (* (+ a -3) a) 9))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ a 1) (* a a)) (+ a -3))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (+ (* (+ a -3) a) 9))))) * * * * [misc]progress: [ 1016 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (378 enodes) * [exit]simplify: Simplified to (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ a -3) (+ a 1)))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ a -3) a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (* (+ a -3) (+ a 1)))) (* (+ (+ a 1) (* a a)) (+ 9 (* (+ a -3) a)))))) * * * * [misc]progress: [ 1017 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* a a) (+ a 1)) (* (+ (* 3 (- 3 a)) (* a a)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 1018 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* a (* a b)))) (* (- 9 (* a (- 3 a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 1019 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * * [misc]simplify: iters left: 4 (480 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3) (- (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (- 9 (* a (- 3 a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* a a) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (* (- (* (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) 3) (- (* (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (- 9 (* a (- 3 a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (* a a) (+ a 1)))))) * * * * [misc]progress: [ 1020 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (* (- 9 (* a (- 3 a))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))))) (- (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- 9 (* a (- 3 a))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ a 1) (* a a))) (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))))) (- (- (- 1 (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))))) * * * * [misc]progress: [ 1021 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ 1 a) (* a a)) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))))))) * * * * [misc]progress: [ 1022 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * * * * [misc]progress: [ 1023 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 1024 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1025 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (* (+ (* a a) (+ a 1)) (- a 3)))) (* (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* (* 2 a) a) (* b b)) (pow b 4)) (pow a 4))) 1))))) * * * * [misc]progress: [ 1026 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1027 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1) (* (+ a -3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1)) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1) (* (+ a -3) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1028 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ a 1))))))) * * * * [misc]progress: [ 1029 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))))) * * * * [misc]progress: [ 1030 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1031 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (* (* (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) 1)) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))) * * * * [misc]progress: [ 1032 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1033 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 1034 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 1035 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 1036 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 1037 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (+ (* a a) (+ a 1)) (+ -3 a)))))) * * * * [misc]progress: [ 1038 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (- a 3) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1)) (* (+ (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1))) 1) (* (- a 3) (+ a 1)))))) * * * * [misc]progress: [ 1039 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) 1)) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) 1)) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) 1))))) * * * * [misc]progress: [ 1040 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) 1) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) 1) (+ (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) 1))))) * * * * [misc]progress: [ 1041 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 1042 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (* (- 3 a) 3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1043 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))))))))) * * * * [misc]progress: [ 1044 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1045 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1046 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 3) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1047 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ a 1) (- a 3)) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ a 1) (- a 3)) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 1048 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- a 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1049 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))))))) * * * * [misc]progress: [ 1050 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1051 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 1052 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1053 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))) (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))))))) * * * * [misc]progress: [ 1054 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4))) (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1055 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1056 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1057 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- a 3) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1058 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1059 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1060 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1061 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1062 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * * * * [misc]progress: [ 1063 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1064 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (+ (* (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (+ (* (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 1065 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ -3 a) (+ (+ 1 a) (* a a)))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 1066 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1067 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ a 1) (- a 3))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))) (* (+ a 1) (- a 3))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 1068 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 1069 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)))))))) * * * * [misc]progress: [ 1070 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 1071 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) (* (* (* (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) (* (* (* (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))))))) * * * * [misc]progress: [ 1072 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1073 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))))))))) * * * * [misc]progress: [ 1074 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1075 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1076 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))))))) * * * * [misc]progress: [ 1077 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (pow a 4) (* 2 (* (* a a) (* b b)))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1078 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ a 1) (- a 3))) (+ (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ a 1) (- a 3))) (+ (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 1079 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (pow a 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1080 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (pow a 4) (+ (* (* b b) (* (* 2 a) a)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1081 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1082 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 1083 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1084 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1085 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))))) (* (- a 3) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3))))) (* (- a 3) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))))) * * * * [misc]progress: [ 1086 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * * * * [misc]progress: [ 1087 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ a -3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ a -3))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 1088 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * * * * [misc]progress: [ 1089 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (+ (+ 1 (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1090 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * * * * [misc]progress: [ 1091 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3))) (+ (* a a) (* (- 3 a) 3)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 1092 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * * * * [misc]progress: [ 1093 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1094 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (pow (+ (* (* (* a a) (* 2 b)) b) (+ (pow a 4) (+ (pow b 4) 1))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (pow (+ (* (* (* a a) (* 2 b)) b) (+ (pow a 4) (+ (pow b 4) 1))) 3)))) * * * * [misc]progress: [ 1095 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b))))) (* (+ a 1) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b)))) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b))))) (* (+ a 1) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 1096 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (* (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b))) (+ (+ 1 (+ (pow b 4) (pow a 4))) (* (* 2 (* a a)) (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1097 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (+ a -3) (+ (* a a) (+ a 1))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1098 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (460 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))))) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* (* b b) (* a 2)) a) (+ (pow a 4) (+ (pow b 4) 1))))))) * * * * [misc]progress: [ 1099 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1100 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (+ a 1)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* a (* a 2)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* a (* a 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (* (+ (+ a 1) (* a a)) (+ a 1)))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* a (* a 2)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* a (* a 2)))))))) * * * * [misc]progress: [ 1101 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 1102 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1103 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 1104 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1105 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (- a 3) (+ (* a a) (+ a 1))))) (* (- a 3) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (- a 3) (+ (* a a) (+ a 1))))) (* (- a 3) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 1106 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1107 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a 1) (- a 3)))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a 1) (- a 3)))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 1108 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1109 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1))))) * * * * [misc]progress: [ 1110 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 1111 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 1112 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1113 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 1114 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1115 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 1116 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1117 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a -3) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a -3) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 1118 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a 1) (+ a -3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a 1) (+ a -3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1119 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1120 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1)))) * * * * [misc]progress: [ 1121 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1122 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b)))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b)))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 1123 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1124 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1125 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1126 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 1127 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1128 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (* (+ 9 (* a (+ a -3))) (* (* (* (+ 9 (* a (+ a -3))) (* (+ (* a a) (+ a 1)) (+ a 1))) (* (+ a -3) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ 9 (* a (+ a -3))) (* (* (* (+ 9 (* a (+ a -3))) (* (+ (* a a) (+ a 1)) (+ a 1))) (* (+ a -3) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a))))))) * * * * [misc]progress: [ 1129 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1130 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))))) * * * * [misc]progress: [ 1131 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1132 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 1133 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1134 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1135 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* (* b a) a))) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* (* b a) a))) (* (+ a 1) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1136 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* b (* (* a 2) (* a b))) (+ (+ (pow b 4) 1) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* b (* (* a 2) (* a b))) (+ (+ (pow b 4) 1) (pow a 4))))))) * * * * [misc]progress: [ 1137 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (* (+ -3 a) (+ (* a a) (+ a 1)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a 2) (* (* b b) a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (* (+ -3 a) (+ (* a a) (+ a 1)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a 2) (* (* b b) a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1)))))) * * * * [misc]progress: [ 1138 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a (+ -3 a)) 9) (+ (* a (+ -3 a)) 9)) (+ a 1)) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* (* b a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a (+ -3 a)) 9) (+ (* a (+ -3 a)) 9)) (+ a 1)) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* (* b a) a))))))) * * * * [misc]progress: [ 1139 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) * * * * [misc]progress: [ 1140 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b)))) (* (+ a 1) (* (- 9 (* a (- 3 a))) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b)))) (* (+ a 1) (* (- 9 (* a (- 3 a))) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1141 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4))))) (* (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (pow a 4)))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 1142 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1143 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 1144 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1145 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (- a 3) (+ (* a a) (+ a 1))))) (* (- a 3) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (- a 3) (+ (* a a) (+ a 1))))) (* (- a 3) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 1146 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1147 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a 1) (- a 3)))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) (+ (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow b 4) (* 2 (* (* a a) (* b b)))) (+ (pow a 4) 1)) (* (+ a 1) (- a 3)))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 1148 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1149 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1)) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) 1))))) * * * * [misc]progress: [ 1150 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 1151 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) 1)) (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 1152 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1153 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1))))) * * * * [misc]progress: [ 1154 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1155 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3)))) (+ (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (* (* a a) (* (* b b) 2)) (pow b 4)) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 1156 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1))) 1) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1157 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a -3) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a -3) (+ (* a a) (+ a 1)))) (+ (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1))) 1)))) * * * * [misc]progress: [ 1158 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a 1) (+ a -3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a 1) (+ a -3))) (+ (+ (+ (* 2 (* (* a a) (* b b))) (pow b 4)) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4))) (+ (pow a 4) (+ (* 2 (* (* a a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1159 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* 2 (* a a))))) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1))) 1) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (* a a) (+ a 1))) (+ (* a a) (* (- 3 a) 3)))))))) * * * * [misc]progress: [ 1160 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (+ (* (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (pow a 4))) 1)))) * * * * [misc]progress: [ 1161 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1162 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b)))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- 9 (* a (- 3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b)))) (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))))) (* (+ a 1) (- 9 (* a (- 3 a))))))) * * * * [misc]progress: [ 1163 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1164 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a (* a 2)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1165 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1166 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (+ a -3) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 1167 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* 3 (- 3 a)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ a -3) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b))))) (+ (pow a 4) (+ (pow b 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1168 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (* (+ 9 (* a (+ a -3))) (* (* (* (+ 9 (* a (+ a -3))) (* (+ (* a a) (+ a 1)) (+ a 1))) (* (+ a -3) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ 9 (* a (+ a -3))) (* (* (* (+ 9 (* a (+ a -3))) (* (+ (* a a) (+ a 1)) (+ a 1))) (* (+ a -3) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a)) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* b b) (* a 2)) a))))))) * * * * [misc]progress: [ 1169 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1170 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))))))) * * * * [misc]progress: [ 1171 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1172 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))) (+ (* (* b b) (* (* a 2) a)) (+ 1 (+ (pow b 4) (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 1173 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))) (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 1174 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1175 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* (* b a) a))) (* (+ a 1) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a))))) (* (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* 2 b) (* (* b a) a))) (* (+ a 1) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1176 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* b (* (* a 2) (* a b))) (+ (+ (pow b 4) 1) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (+ a 1) (- 9 (* a (- 3 a))))) (* (* (+ a 1) (- 9 (* a (- 3 a)))) (+ (* b (* (* a 2) (* a b))) (+ (+ (pow b 4) 1) (pow a 4))))))) * * * * [misc]progress: [ 1177 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (* (+ -3 a) (+ (* a a) (+ a 1)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a 2) (* (* b b) a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (* (+ -3 a) (+ (* a a) (+ a 1)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a 2) (* (* b b) a)))) (* (- 9 (* a (- 3 a))) (* (+ (* a a) (+ a 1)) (+ a 1)))))) * * * * [misc]progress: [ 1178 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a (+ -3 a)) 9) (+ (* a (+ -3 a)) 9)) (+ a 1)) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* (* b a) a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a (+ -3 a)) 9) (+ (* a (+ -3 a)) 9)) (+ a 1)) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* (* b a) a))))))) * * * * [misc]progress: [ 1179 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ (+ 1 a) (* a a))) (+ (* a a) (* (- 3 a) 3)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))))) * * * * [misc]progress: [ 1180 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b)))) (* (+ a 1) (* (- 9 (* a (- 3 a))) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a a) (+ a 1)) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* (* a 2) a) (* b b)))) (* (+ a 1) (* (- 9 (* a (- 3 a))) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1181 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (+ (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))))))))) * * * * [misc]progress: [ 1182 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* 4 (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* 4 (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) (- (- (- 1 (pow b 4)) (pow a 4)) (* b (* (* a a) (* 2 b))))))) * * * * [misc]progress: [ 1183 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))) (* (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))) (* (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 1184 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) * * * * [misc]progress: [ 1185 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) 1) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) 1)) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) 1)) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) 1) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) 1)) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) 1)) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1186 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 1187 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)))) (* (+ (* a a) (+ a 1)) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)))) (* (* (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)))) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * * * * [misc]progress: [ 1188 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))))))) * * * * [misc]progress: [ 1189 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))) (* (* (- a 3) (+ a 1)) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))) (* (* (- a 3) (+ a 1)) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))))) * * * * [misc]progress: [ 1190 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ -3 a) (+ a 1)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ -3 a) (+ a 1)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))))))) * * * * [misc]progress: [ 1191 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 1192 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 1193 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) 1)) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))))) * * * * [misc]progress: [ 1194 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 1195 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (479 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4))) (+ (pow a 4) (+ (* (* (* b b) (* 2 a)) a) (pow b 4)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 1196 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1197 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (+ 1 a) (* a a))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (+ 1 a) (* a a))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1198 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (457 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4))))) (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4)))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4))))) (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* 2 (* b b))) (pow b 4)))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1199 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) 1) (* (+ (* a a) (+ a 1)) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) 1) (* (+ (* a a) (+ a 1)) (+ a -3)))))) * * * * [misc]progress: [ 1200 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* 2 a) (* a (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4)))) (* (* (+ (* a (- a 3)) 9) (* (+ a 1) (* (- a 3) (+ a 1)))) (* (+ (* a (- a 3)) 9) (+ a 1)))) (+ (+ (* (* 2 a) (* a (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (* (* 2 a) (* a (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4)))) (* (* (+ (* a (- a 3)) 9) (* (+ a 1) (* (- a 3) (+ a 1)))) (* (+ (* a (- a 3)) 9) (+ a 1)))) (+ (+ (* (* 2 a) (* a (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 a) (* a (* b b)))) (pow a 4))))))) * * * * [misc]progress: [ 1201 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))) (* (* a a) (- 1 a)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1202 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (471 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow b 4) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (* (+ (* (+ (pow b 4) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (pow b 4) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (* (+ (* (+ (pow b 4) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))))) * * * * [misc]progress: [ 1203 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1)))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1)))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))))))) * * * * [misc]progress: [ 1204 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1205 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 1206 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* a a) (* 3 (- 3 a)))) (* (+ a 1) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1207 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- a 3) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (pow a 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- a 3) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1208 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ a -3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ a -3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1209 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a 1) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a 1) (+ -3 a))))))) * * * * [misc]progress: [ 1210 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1211 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 1212 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1213 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 1214 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1215 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))))))) * * * * [misc]progress: [ 1216 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1217 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1218 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (494 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) 1)))) * * * * [misc]progress: [ 1219 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- a 3) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1220 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1221 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1222 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1223 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1224 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1225 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))))))) * * * * [misc]progress: [ 1226 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 1227 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))) (* (- a 3) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))))) (* (- a 3) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1228 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (pow a 4) (+ (* (* (* a a) 2) (* b b)) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) * * * * [misc]progress: [ 1229 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ a 1) (+ -3 a)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ a 1) (+ -3 a)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1230 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ a 1) (+ -3 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ a 1) (+ -3 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) * * * * [misc]progress: [ 1231 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (* (+ (+ 1 (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1232 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow a 4) (+ (* (* b b) (* (* a a) 2)) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * * * * [misc]progress: [ 1233 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))))))) * * * * [misc]progress: [ 1234 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1235 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))))) * * * * [misc]progress: [ 1236 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) * * * * [misc]progress: [ 1237 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1238 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (490 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b)))) (+ (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b)))) (+ (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 1239 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ -3 a) (+ (* a a) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1240 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a 1) (- a 3))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ a 1) (- a 3))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* a a) 2)))))))) * * * * [misc]progress: [ 1241 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1242 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (497 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4))) (+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4))) (+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* b b) (* (* a a) 2))))))) * * * * [misc]progress: [ 1243 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 1244 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 1245 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) (+ (+ 1 (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)))) (+ (+ 1 (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))) (* (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4)) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 1246 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b))))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b))))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* b (* (* a a) (* 2 b)))))))) * * * * [misc]progress: [ 1247 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) 2) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) 2) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) 2) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) 2) (* b b))))))))) * * * * [misc]progress: [ 1248 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1249 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ a 1) (+ -3 a)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ a 1) (+ -3 a)) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1250 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (- a 3) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a (- a 3)) 9) (+ a 1)) (* (+ (* a (- a 3)) 9) (+ a 1))) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ a 1) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (- a 3) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (* (* (+ (* a (- a 3)) 9) (+ a 1)) (* (+ (* a (- a 3)) 9) (+ a 1))) (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (+ 1 (pow a 4)))))))) * * * * [misc]progress: [ 1251 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))) (* (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4))) (+ (pow a 4) (+ (* (* a a) (* (* b b) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 1252 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))))) * * * * [misc]progress: [ 1253 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))))))) * * * * [misc]progress: [ 1254 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* b (* a a)))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* b (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* b (* a a)))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) * * * * [misc]progress: [ 1255 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (+ (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) 1)))) * * * * [misc]progress: [ 1256 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (pow (+ (* (* a (* a 2)) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) 3) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (pow (+ (* (* a (* a 2)) (* b b)) (+ 1 (+ (pow a 4) (pow b 4)))) 3) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1257 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (+ (pow b 4) 1) (pow a 4))) (+ (* (* (* a a) (* 2 b)) b) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (+ (pow b 4) 1) (pow a 4))) (+ (* (* (* a a) (* 2 b)) b) (+ (+ (pow b 4) 1) (pow a 4)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (* (+ (* a a) (+ a 1)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1258 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (pow (* (- 9 (* a (- 3 a))) (+ a 1)) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4)))) (+ (* (* (* b b) (* a 2)) a) (+ 1 (+ (pow a 4) (pow b 4))))) (pow (* (- 9 (* a (- 3 a))) (+ a 1)) 3)))) * * * * [misc]progress: [ 1259 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (+ 9 (* a (+ a -3)))) (* (+ 9 (* a (+ a -3))) (* (+ a 1) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (* (+ (+ a 1) (* a a)) (+ a -3)) (+ 9 (* a (+ a -3)))) (* (+ 9 (* a (+ a -3))) (* (+ a 1) (+ a 1))))))) * * * * [misc]progress: [ 1260 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ a 1) (- a 3)) (+ 9 (* a (- a 3)))) (* (+ 9 (* a (- a 3))) (* (+ a 1) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (+ a 1) (- a 3)) (+ 9 (* a (- a 3)))) (* (+ 9 (* a (- a 3))) (* (+ a 1) (+ a 1))))))) * * * * [misc]progress: [ 1261 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1262 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (* (+ a 1) (+ a 1)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (- 9 (* a (- 3 a)))) (* (* (+ a 1) (+ a 1)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1263 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 1264 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))))) * * * * [misc]progress: [ 1265 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1266 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1267 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 1268 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1269 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (* (+ a 1) (- a 3)) (* (* (+ 9 (* (- a 3) a)) (+ a 1)) (* (+ 9 (* (- a 3) a)) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (* (+ a 1) (- a 3)) (* (* (+ 9 (* (- a 3) a)) (+ a 1)) (* (+ 9 (* (- a 3) a)) (+ a 1)))))))) * * * * [misc]progress: [ 1270 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (- a 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (- a 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1271 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 1272 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1273 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1))))) * * * * [misc]progress: [ 1274 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))))) * * * * [misc]progress: [ 1275 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 1276 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 1277 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (pow b 4))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (pow b 4))) 1)))) * * * * [misc]progress: [ 1278 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1279 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (* a a) (+ a 1)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) * * * * [misc]progress: [ 1280 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ a 1) (+ a -3)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ a 1) (+ a -3)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 1281 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * * * * [misc]progress: [ 1282 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1283 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* a a) (* (- 3 a) 3)) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* a a) (* (- 3 a) 3)) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1284 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (+ (+ a 1) (* a a)) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ a 1) (* a a)) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 1285 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))))))) * * * * [misc]progress: [ 1286 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 1287 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 1288 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 9 (* (+ a -3) a)) (+ a 1)) (* (+ 9 (* (+ a -3) a)) (+ a 1))) (* (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* a a) (+ a 1)) (+ a -3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ 9 (* (+ a -3) a)) (+ a 1)) (* (+ 9 (* (+ a -3) a)) (+ a 1))) (* (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* a a) (+ a 1)) (+ a -3))))) * * * * [misc]progress: [ 1289 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1290 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- a 3) a) 9) (+ a 1)) (* (+ (* (- a 3) a) 9) (+ a 1))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- a 3) a) 9) (+ a 1)) (* (+ (* (- a 3) a) 9) (+ a 1))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2)))))))) * * * * [misc]progress: [ 1291 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1292 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (486 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ a 3)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ a 3)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))))))) * * * * [misc]progress: [ 1293 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 1294 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 1295 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 1296 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1297 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ (+ a 1) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) 1) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ (+ a 1) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) 1) (pow a 4))))))) * * * * [misc]progress: [ 1298 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))))) * * * * [misc]progress: [ 1299 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* (- a 3) a) 9)) (* (+ a 1) (+ (* (- a 3) a) 9))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a 2) (* b (* b a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ (* (- a 3) a) 9)) (* (+ a 1) (+ (* (- a 3) a) 9))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a 2) (* b (* b a)))))))) * * * * [misc]progress: [ 1300 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (* (- 9 (* a (- 3 a))) (* (+ a 1) (* (+ a 1) (- a 3)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (* (- 9 (* a (- 3 a))) (* (+ a 1) (* (+ a 1) (- a 3)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1301 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))))))) * * * * [misc]progress: [ 1302 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))))) * * * * [misc]progress: [ 1303 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (* a a) (* 3 (- 3 a))) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 1304 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ (* a a) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))))) * * * * [misc]progress: [ 1305 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ (pow a 4) 1))) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (pow a 4) (+ (* (* 2 (* b b)) (* a a)) (pow b 4)))) (* (- 9 (* a (- 3 a))) (+ a 1))))))) * * * * [misc]progress: [ 1306 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1307 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 1308 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1309 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (487 enodes) * [exit]simplify: Simplified to (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (* (+ a 1) (- a 3)) (* (* (+ 9 (* (- a 3) a)) (+ a 1)) (* (+ 9 (* (- a 3) a)) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (+ (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* 2 (* b b))))))) (* (* (+ a 1) (- a 3)) (* (* (+ 9 (* (- a 3) a)) (+ a 1)) (* (+ 9 (* (- a 3) a)) (+ a 1)))))))) * * * * [misc]progress: [ 1310 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (- a 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (- a 3))) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))))))) * * * * [misc]progress: [ 1311 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1)) (* (+ (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) 1) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))))))) * * * * [misc]progress: [ 1312 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1313 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1) (+ (* (+ (pow b 4) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (+ (* b (* (* a a) (* 2 b))) (+ (pow b 4) (+ (pow a 4) 1)))) 1))))) * * * * [misc]progress: [ 1314 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))))) * * * * [misc]progress: [ 1315 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (+ (* (* (* 2 a) (* a b)) b) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)) (+ (+ (* (* (* 2 a) (* a b)) b) (pow b 4)) (pow a 4)))))))) * * * * [misc]progress: [ 1316 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (+ (* (* (* a a) (* 2 b)) b) (pow b 4)) (pow a 4))))))) * * * * [misc]progress: [ 1317 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (pow b 4))) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ (* a a) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (+ 1 (pow a 4)))) (+ (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (pow b 4))) 1)))) * * * * [misc]progress: [ 1318 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1319 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (* a a) (+ a 1)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (* (* b b) (* (* 2 a) a)) (+ (pow b 4) (+ 1 (pow a 4))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (* (+ (* a a) (+ a 1)) (- a 3)))))) * * * * [misc]progress: [ 1320 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ a 1) (+ a -3)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ a 1) (+ a -3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (+ a 1) (+ a -3)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow b 4) (+ 1 (pow a 4)))) (* (+ a 1) (+ a -3)))))))) * * * * [misc]progress: [ 1321 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * * * * [misc]progress: [ 1322 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (* (* a a) (* 2 (* b b))) (+ (pow b 4) (+ (pow a 4) 1)))) (+ (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (pow b 4)))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1323 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* a a) (* (- 3 a) 3)) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (* a a) (* (- 3 a) 3)) (+ (+ 1 a) (* a a)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1324 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (+ (+ a 1) (* a a)) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ a 1) (* a a)) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- 9 (* a (- 3 a))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (+ 1 (pow a 4))))))))) * * * * [misc]progress: [ 1325 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))))))) * * * * [misc]progress: [ 1326 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ 1 (pow a 4)))))) (* (- 9 (* a (- 3 a))) (+ a 1))))) * * * * [misc]progress: [ 1327 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 1328 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 9 (* (+ a -3) a)) (+ a 1)) (* (+ 9 (* (+ a -3) a)) (+ a 1))) (* (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* a a) (+ a 1)) (+ a -3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ 9 (* (+ a -3) a)) (+ a 1)) (* (+ 9 (* (+ a -3) a)) (+ a 1))) (* (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))) (+ (* (* a a) (* 2 (* b b))) (+ (pow a 4) (+ (pow b 4) 1))))) (* (+ (* a a) (+ a 1)) (+ a -3))))) * * * * [misc]progress: [ 1329 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 1330 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- a 3) a) 9) (+ a 1)) (* (+ (* (- a 3) a) 9) (+ a 1))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- a 3) a) 9) (+ a 1)) (* (+ (* (- a 3) a) 9) (+ a 1))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2))))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* b (* b 2)))))))) * * * * [misc]progress: [ 1331 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1332 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (486 enodes) * [exit]simplify: Simplified to (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ a 3)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ a 3)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 b) (* b (* a a)))))))) * * * * [misc]progress: [ 1333 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 1334 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 1335 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (+ (* (* (* a a) 2) (* b b)) (pow b 4)) (pow a 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * * * * [misc]progress: [ 1336 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ (pow b 4) 1)) (* (* a a) (* 2 (* b b)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1337 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ (+ a 1) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) 1) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ (+ a 1) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (+ (pow b 4) 1) (pow a 4))))))) * * * * [misc]progress: [ 1338 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (+ (* (* (* a a) 2) (* b b)) (+ (pow a 4) (+ (pow b 4) 1))))))) * * * * [misc]progress: [ 1339 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* (- a 3) a) 9)) (* (+ a 1) (+ (* (- a 3) a) 9))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a 2) (* b (* b a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ (* (- a 3) a) 9)) (* (+ a 1) (+ (* (- a 3) a) 9))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (+ (+ (pow b 4) (+ 1 (pow a 4))) (* (* a 2) (* b (* b a)))))))) * * * * [misc]progress: [ 1340 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (* (- 9 (* a (- 3 a))) (* (+ a 1) (* (+ a 1) (- a 3)))) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* 2 (* b b)) (* a a))) (* (* (- 9 (* a (- 3 a))) (* (+ a 1) (* (+ a 1) (- a 3)))) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1341 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (* 3 (- 3 a))) (+ a 1)) (* (+ (* a a) (* 3 (- 3 a))) (+ a 1))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))))))) * * * * [misc]progress: [ 1342 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))))))) * * * * [misc]progress: [ 1343 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (* (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a)))))) (* (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a)))) 3) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a))))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (* (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a)))))) (* (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a)))) 3) (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a 2) (* b (* b a))))))) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))))) * * * * [misc]progress: [ 1344 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (* (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) 4)) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b)))) (* (+ (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) 4)) (* (* (- 9 (* a (- 3 a))) (+ a 1)) (* (- 9 (* a (- 3 a))) (+ a 1)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* a a) (* 2 (* b b))))))) * * * * [misc]progress: [ 1345 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))))))) * * * * [misc]progress: [ 1346 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))))))))) * * * * [misc]progress: [ 1347 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (* (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (* (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1348 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (* (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))))))) * * * * [misc]progress: [ 1349 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 1350 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) (+ a 1)) (+ a -3))))))) * * * * [misc]progress: [ 1351 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (+ a 1) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (+ a 1) (+ -3 a)))))) * * * * [misc]progress: [ 1352 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- a 3))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 1353 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))))) * * * * [misc]progress: [ 1354 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1355 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 1356 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 1357 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1358 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 1359 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1360 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))))) * * * * [misc]progress: [ 1361 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))))))) * * * * [misc]progress: [ 1362 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))) (* (+ a 1) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (+ (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))) (* (+ a 1) (- a 3)))))) * * * * [misc]progress: [ 1363 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (+ 1 (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))))) (+ 1 (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 1364 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (+ (pow b 4) (* (* 2 (* a a)) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1365 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1366 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1367 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))))))) * * * * [misc]progress: [ 1368 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ a 1))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a)))))) (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ a 1))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1369 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))))))) * * * * [misc]progress: [ 1370 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* a a) (+ a 1)) (+ a -3))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1371 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ a 1) (- a 3))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))) (* (+ a 1) (- a 3))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 1372 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1373 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 1374 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1375 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))) (+ (pow a 4) (+ (pow b 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 1376 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1377 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1378 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1379 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1380 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1381 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (* (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1382 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (* (* (+ a 1) (- a 3)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1383 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))) (+ (pow a 4) (+ (pow b 4) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1384 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)))) (* (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1385 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1386 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (* (* b b) (* 2 (* a a)))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1387 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))))) * * * * [misc]progress: [ 1388 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 1389 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ 1 a) (* a a)) (+ a -3)) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 1390 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (- a 3)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 1391 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- a 3)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- a 3)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1392 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ a -3)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ a -3)))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * * * * [misc]progress: [ 1393 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1394 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1395 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))))) * * * * [misc]progress: [ 1396 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (pow b 4) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1397 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))))))) * * * * [misc]progress: [ 1398 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1399 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1400 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) * * * * [misc]progress: [ 1401 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (* a a) (+ a 1)) (- a 3))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * * * * [misc]progress: [ 1402 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (+ a 1) (+ a -3))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (+ a 1) (+ a -3))) (+ (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 1403 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1404 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (- (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) (+ (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))))))) * * * * [misc]progress: [ 1405 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (pow b 4))))))) * * * * [misc]progress: [ 1406 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1407 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 1408 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1))))))) * * * * [misc]progress: [ 1409 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ 1 a) (* a a)) (+ -3 a))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1410 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (* (+ (* a a) (+ a 1)) (+ a -3)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 1411 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a 1) (- a 3))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a 1) (- a 3))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))))) * * * * [misc]progress: [ 1412 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (+ a -3))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ a 1) (+ a -3))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1413 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))))) * * * * [misc]progress: [ 1414 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1415 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))))) * * * * [misc]progress: [ 1416 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))))) * * * * [misc]progress: [ 1417 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1418 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (438 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a a) (* (* 2 b) b))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a a) (* (* 2 b) b)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a a) (* (* 2 b) b))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3))) (+ (* a (- a 3)) 9)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a a) (* (* 2 b) b))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a a) (* (* 2 b) b)))) (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* a a) (* (* 2 b) b))) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (- a 3))) (+ (* a (- a 3)) 9)))))) * * * * [misc]progress: [ 1419 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1420 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (441 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (* a (+ -3 a)) 9) (+ a 1))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (* a (+ -3 a)) 9) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (* b (* (* a 2) (* a b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (* a (+ -3 a)) 9) (+ a 1))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (* a (+ -3 a)) 9) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1421 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* a 2) (* (* a b) b))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* a 2) (* (* a b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* a 2) (* (* a b) b))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* a 2) (* (* a b) b))))))) * * * * [misc]progress: [ 1422 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (482 enodes) * [exit]simplify: Simplified to (* (* (* (+ 9 (* a (+ a -3))) (* (+ a 1) (+ a -3))) (* (* (+ a 1) (+ a -3)) (+ (+ a 1) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* a (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ 9 (* a (+ a -3))) (* (+ a 1) (+ a -3))) (* (* (+ a 1) (+ a -3)) (+ (+ a 1) (* a a)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* a (* b b)))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* a (* b b)))))))) * * * * [misc]progress: [ 1423 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))))) * * * * [misc]progress: [ 1424 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (* (* (* (+ a 1) (+ (* a (+ -3 a)) 9)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ a 1) (+ (* a (+ -3 a)) 9)) (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))))) (* (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))) (+ (+ (pow b 4) (+ (pow a 4) 1)) (* (* (* b b) 2) (* a a))))))) * * * * [misc]progress: [ 1425 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1426 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1427 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))))) * * * * [misc]progress: [ 1428 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))))) * * * * [misc]progress: [ 1429 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 1430 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 1431 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (- a 3)) (* (* (+ a 1) (- a 3)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ a 1) (- a 3)) (* (* (+ a 1) (- a 3)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1432 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1433 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 1434 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1435 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (+ (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (+ (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 1436 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1437 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1438 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1439 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1440 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1441 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1442 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (* (* (+ a 1) (+ a -3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (* (* (+ a 1) (+ a -3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1443 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))))) * * * * [misc]progress: [ 1444 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1445 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1446 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 1447 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1448 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1449 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 1450 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (* a (+ -3 a)) 9) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (* a (+ -3 a)) 9) (+ a 1)))))) * * * * [misc]progress: [ 1451 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1452 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (483 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* a (- a 3)) 9)) (* (+ a 1) (- a 3))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* a (- a 3)) 9)) (* (+ a 1) (- a 3))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))))))) * * * * [misc]progress: [ 1453 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))))) * * * * [misc]progress: [ 1454 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 1455 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 1456 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ 9 (* a (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ 9 (* a (+ -3 a)))))))) * * * * [misc]progress: [ 1457 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))))) * * * * [misc]progress: [ 1458 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (* (* (+ a 1) (+ a -3)) (+ (+ a 1) (* a a))) (+ (* a (+ a -3)) 9))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (* (* (+ a 1) (+ a -3)) (+ (+ a 1) (* a a))) (+ (* a (+ a -3)) 9))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) * * * * [misc]progress: [ 1459 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* b (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* b (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))))) * * * * [misc]progress: [ 1460 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a (- a 3)) 9) (+ a 1)) (* (+ (* a (- a 3)) 9) (+ a 1))) (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a (- a 3)) 9) (+ a 1)) (* (+ (* a (- a 3)) 9) (+ a 1))) (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 1461 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- a 3)) (* (+ (+ a 1) (* a a)) (- a 3))) (* (+ (* (* 2 b) (* b (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ 9 (* a (- a 3))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (- a 3)) (* (+ (+ a 1) (* a a)) (- a 3))) (* (+ (* (* 2 b) (* b (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ 9 (* a (- a 3))) (+ a 1)))))) * * * * [misc]progress: [ 1462 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (* (* (+ 9 (* a (+ -3 a))) (* (+ a 1) (+ -3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (* (* (+ 9 (* a (+ -3 a))) (* (+ a 1) (+ -3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))))))) * * * * [misc]progress: [ 1463 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1464 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ a -3))))))) * * * * [misc]progress: [ 1465 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (* (+ (+ 1 a) (* a a)) (+ (* (- 3 a) 3) (* a a))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1466 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) (* (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1467 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)))) (* (+ (* 3 (- 3 a)) (* a a)) (+ a 1)))))) * * * * [misc]progress: [ 1468 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4)) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (pow a 4))))))) * * * * [misc]progress: [ 1469 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a)))) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) (* (* (+ (+ 1 a) (* a a)) (+ -3 a)) (+ 1 (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 1470 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4))))))) * * * * [misc]progress: [ 1471 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a 1) (- a 3)) (* (* (+ a 1) (- a 3)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (+ (* (+ a 1) (- a 3)) (* (* (+ a 1) (- a 3)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1472 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1473 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a)))) (+ (* (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a))))) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)))) (+ (* (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (+ (pow a 4) (+ (pow b 4) (* (* b b) (* (* 2 a) a)))))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a)))))))) * * * * [misc]progress: [ 1474 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* 2 (* a a)) (* b b)))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3)))))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1475 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (+ (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))) (+ (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (+ (* (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (+ (+ (pow b 4) (* (* (* a a) (* b b)) 2)) (+ (pow a 4) 1))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))))))) * * * * [misc]progress: [ 1476 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a)))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a))))))) * * * * [misc]progress: [ 1477 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1478 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (+ (+ 1 (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4))) (* (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (pow a 4)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1479 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1480 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1))) (* (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1481 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (* (* (+ (* a a) (+ a 1)) (- a 3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1482 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (* (* (+ a 1) (+ a -3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* 2 a) a))) (pow a 4)))) (* (* (+ a 1) (+ a -3)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1483 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ (* (- 3 a) 3) (* a a))) (+ (* (* (* b b) (+ a 3)) (* (* b b) (+ a 3))) (* (- (* (- 1 a) (* a a)) (* (* b b) (+ a 3))) (* (- 1 a) (* a a))))) (+ 1 (* (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* 2 (* a a)))) (pow a 4))))))) * * * * [misc]progress: [ 1484 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (+ 1 (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ 1 (* (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (pow a 4)) (+ (+ (pow b 4) (* (* 2 (* b b)) (* a a))) (+ (pow a 4) 1)))) (* (- (* (* b b) (+ a 3)) (* (- 1 a) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a)))))))) * * * * [misc]progress: [ 1485 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ (* a a) (+ a 1)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1486 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (* (* (+ (+ 1 a) (* a a)) (+ (* 3 (- 3 a)) (* a a))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 1487 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (- 3 a) 3) (* a a)) (+ a 1)))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1488 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (+ a 1))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (* (+ 9 (* a (+ -3 a))) (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1)))))))) * * * * [misc]progress: [ 1489 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (123 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 a) (* a a)) (- a 3))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))))) * * * * [misc]progress: [ 1490 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (* a (+ -3 a)) 9) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (+ -3 a)) (* (+ (* a a) (+ a 1)) (+ -3 a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (* a (+ -3 a)) 9) (+ a 1)))))) * * * * [misc]progress: [ 1491 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (129 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (* (+ a 1) (- a 3)) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (+ 1 (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 1492 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (483 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* a (- a 3)) 9)) (* (+ a 1) (- a 3))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (* (+ (* a a) (+ a 1)) (* (+ a 1) (- a 3))) (+ (* a (- a 3)) 9)) (* (+ a 1) (- a 3))) (* (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))) (+ (+ (pow a 4) (+ 1 (pow b 4))) (* (* (* b b) 2) (* a a))))))) * * * * [misc]progress: [ 1493 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b))) (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (+ 1 a) (* a a))))) (+ (* (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b))) (* (* a a) (- 1 a))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))))) (+ (+ 1 (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))) (* (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b)))) (+ (pow a 4) (+ (pow b 4) (* (* (* 2 a) a) (* b b))))))))) * * * * [misc]progress: [ 1494 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a)))))) * * * * [misc]progress: [ 1495 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ a -3)) (+ (+ 1 a) (* a a))) (+ (* 3 (- 3 a)) (* a a)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (+ (+ 1 (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* a a) (* (* b b) 2))) (pow b 4))))))) * * * * [misc]progress: [ 1496 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ 9 (* a (+ -3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ (* (* (* a 2) (* a b)) b) (+ 1 (+ (pow a 4) (pow b 4)))) (* (* (* (+ a 1) (+ -3 a)) (+ (* a a) (+ a 1))) (+ 9 (* a (+ -3 a)))))))) * * * * [misc]progress: [ 1497 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 3 (- 3 a)) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1))))) (+ (+ 1 (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))))) * * * * [misc]progress: [ 1498 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (398 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (* (* (+ a 1) (+ a -3)) (+ (+ a 1) (* a a))) (+ (* a (+ a -3)) 9))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a)) (* (* (* (+ a 1) (+ a -3)) (+ (+ a 1) (* a a))) (+ (* a (+ a -3)) 9))) (+ (+ 1 (+ (pow a 4) (pow b 4))) (* (* (* b b) (* a 2)) a))))) * * * * [misc]progress: [ 1499 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* b (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (- 9 (* a (- 3 a)))) (* (- 9 (* a (- 3 a))) (+ a 1))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 b) (* b (* a a)))) (* (+ (+ a 1) (* a a)) (+ -3 a)))))) * * * * [misc]progress: [ 1500 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a (- a 3)) 9) (+ a 1)) (* (+ (* a (- a 3)) 9) (+ a 1))) (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (* a (- a 3)) 9) (+ a 1)) (* (+ (* a (- a 3)) 9) (+ a 1))) (* (+ (* (* a 2) (* a (* b b))) (+ (pow a 4) (+ 1 (pow b 4)))) (* (+ (+ a 1) (* a a)) (- a 3)))))) * * * * [misc]progress: [ 1501 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ a 1) (* a a)) (- a 3)) (* (+ (+ a 1) (* a a)) (- a 3))) (* (+ (* (* 2 b) (* b (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ 9 (* a (- a 3))) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (+ (+ a 1) (* a a)) (- a 3)) (* (+ (+ a 1) (* a a)) (- a 3))) (* (+ (* (* 2 b) (* b (* a a))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ 9 (* a (- a 3))) (+ a 1)))))) * * * * [misc]progress: [ 1502 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (* (* (+ 9 (* a (+ -3 a))) (* (+ a 1) (+ -3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (- a 3) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- a 3) (+ 1 a))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a 2) (* (* a b) b))) (* (* (+ 9 (* a (+ -3 a))) (* (+ a 1) (+ -3 a))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))))))) * * * * [misc]progress: [ 1503 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (+ (* (* (* a a) (- 1 a)) (- (* (* a a) (- 1 a)) (* (+ a 3) (* b b)))) (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b)))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ 1 a) (* a a))) (+ (* (- 3 a) 3) (* a a))))))) * * * * [misc]progress: [ 1504 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (412 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ a -3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a)))) (* (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 9 (* a (+ a -3)))) (* (+ (* (* b b) (* a (* a 2))) (+ 1 (+ (pow a 4) (pow b 4)))) (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ a -3))))))) * * * * [misc]progress: [ 1505 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3)) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (+ (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (+ (pow (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3))))) (+ (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a))))) (pow (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) 3)) (* (* (* (+ (* (- 3 a) 3) (* a a)) (* (* (+ a 1) (- a 3)) (+ (* a a) (+ a 1)))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (* 4 (+ (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))) (- (- (- 1 (pow b 4)) (pow a 4)) (* (* b b) (* 2 (* a a)))))))))) * * * * [misc]progress: [ 1506 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* a (+ -3 a)) 9))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4)) (- (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (- (* (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (* (+ (+ a 1) (* a a)) (* (+ a 1) (+ -3 a))) (+ (* a (+ -3 a)) 9))) (- (- (- (- 1 (pow b 4)) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))))))) * * * * [misc]progress: [ 1507 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ -3 a)) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1))) (+ (* a a) (* (- 3 a) 3))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1))) (+ (+ 1 a) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ -3 a)) (+ a 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)))) (* (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1))) (+ (* a a) (* (- 3 a) 3))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1))) (+ (+ 1 a) (* a a))))))) * * * * [misc]progress: [ 1508 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (+ a -3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (+ a -3))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2))) (* (+ (* a a) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)))))))) * * * * [misc]progress: [ 1509 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (* (+ a 1) (+ a -3)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4))))) (* (* (* (+ a 1) (+ a -3)) (+ a 1)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* a a) (* (* b b) 2))) (pow a 4)))) (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)))))) * * * * [misc]progress: [ 1510 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (+ -3 a)) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (+ a 1)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ a 1) (+ -3 a)) (+ a 1)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1511 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1))) (+ (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)))))))) * * * * [misc]progress: [ 1512 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ -3 a)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ -3 a) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ -3 a)) (+ a 1))) (* (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ -3 a) (+ (+ 1 a) (* a a))))) (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))))))) * * * * [misc]progress: [ 1513 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))))) (* (* (* (+ a 1) (+ a 1)) (+ a -3)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)))) (* (+ a 1) (+ a -3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)))) (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))))) (* (* (* (+ a 1) (+ a 1)) (+ a -3)) (+ (* a a) (* (- 3 a) 3)))) (* (+ (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4)))) (* (+ a 1) (+ a -3)))))) * * * * [misc]progress: [ 1514 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* (* (+ a 1) (+ a 1)) (+ -3 a)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (* (- a 3) (+ 1 a)) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))) (* (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (+ (pow b 4) (+ (pow a 4) (* (* b b) (* (* a a) 2))))))) (* (* (* (+ a 1) (+ -3 a)) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* (* (+ a 1) (+ a 1)) (+ -3 a)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1515 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))))) (* (* (* (+ a 1) (- a 3)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b)))))) (* (* (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)))) (+ (+ (+ (pow b 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) 2) (* b b))) (pow b 4))))) (* (* (* (+ a 1) (- a 3)) (+ a 1)) (+ (* a a) (* 3 (- 3 a)))))))) * * * * [misc]progress: [ 1516 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ a 1) (+ a 1)) (- a 3)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (- (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (* (+ a 3) (* b b)) (* (- 1 a) (* a a))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (pow (* (+ a 3) (* b b)) 3) (pow (* (- 1 a) (* a a)) 3)) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)))) (+ (+ 1 (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))) (* (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4)) (+ (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (pow b 4))))) (* (* (+ (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (- (* (- 1 a) (* a a)) (* (+ a 3) (* b b))) (* (- 1 a) (* a a)))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (* (* (+ a 1) (+ a 1)) (- a 3)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1517 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) 1))) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) 1) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) 1))) (* (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) 1) (+ (* (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (+ (pow a 4) 1)) (+ (+ (pow b 4) (* (* b b) (* (* a a) 2))) (pow a 4))) 1))))) * * * * [misc]progress: [ 1518 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (* (* (+ a 3) (* b b)) (* (+ a 3) (* b b))) (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a)))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))) (* (- (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) (+ (+ (+ (pow b 4) 1) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (+ (pow b 4) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))))))) * * * * [misc]progress: [ 1519 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (+ -3 a))) (+ (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1)))) (* (+ (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)))))))) (* (* (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (+ -3 a))) (+ (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1)))) (* (+ (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1))) (+ (* (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4)) (+ (+ (pow a 4) (* (* b b) (* (* a a) 2))) (pow b 4))) (+ (+ (* (* b b) (* (* a a) 2)) (pow b 4)) (+ (pow a 4) 1))))))) * * * * [misc]progress: [ 1520 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (+ 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- (* 1 1) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))))))) (* (* (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (+ 1 (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (+ (pow b 4) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (+ (+ (+ 1 (pow b 4)) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (* (- 3 a) 3)) (* (* (+ a 1) (+ a 1)) (- a 3))))))) * * * * [misc]progress: [ 1521 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (* (* (* (+ a 1) (- a 3)) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (* (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (* (* (* (+ a 1) (- a 3)) (+ a 1)) (+ (* a a) (* (- 3 a) 3))) (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4))))) (* (+ (+ (+ (* (* (* a a) (* b b)) 2) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)) (+ (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (pow b 4)))) (* (+ (+ 1 a) (* a a)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1522 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (497 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4)) (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4)))) (+ (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4)) (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4))))) (* (* (* (+ a 1) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ a 1) (- a 3)) (- 9 (* a (- 3 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4)) (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4)))) (+ (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (+ (pow a 4) 1))) (* (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4)) (+ (+ (pow a 4) (* b (* (* a 2) (* a b)))) (pow b 4))))) (* (* (* (+ a 1) (+ a 1)) (- 9 (* a (- 3 a)))) (* (* (+ a 1) (- a 3)) (- 9 (* a (- 3 a)))))))) * * * * [misc]progress: [ 1523 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (* (* (+ a 1) (+ a 1)) (- a 3)) (+ (* a a) (* (- 3 a) 3))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) 3) (pow (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3)) (+ (* (* (* (+ (* (* (+ (pow a 3) (pow 3 3)) (* b b)) (+ 1 a)) (* (+ (* a a) (- (* 3 3) (* a 3))) (* (- (* 1 1) (* a a)) (* a a)))) 4) (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ 1 a)) (* (- a 3) (* (- (* 1 1) (* a a)) (* a a)))) 4)) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a)))))) (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (+ (* (* (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (- (pow 1 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3))) (* (- a 3) (+ (* 1 1) (+ (* a a) (* 1 a))))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (* (- (* a a) (* 3 3)) (* b b)) (+ (* 1 1) (+ (* a a) (* 1 a)))) (* (- a 3) (* (- (pow 1 3) (pow a 3)) (* a a)))) 4) (- 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) (* (* (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)))) (+ (+ (+ (* (* 2 (* b b)) (* a a)) (pow b 4)) (+ (pow a 4) 1)) (* (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4)) (+ (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (pow b 4))))) (* (* (- a 3) (+ (+ 1 a) (* a a))) (* (* (* (+ a 1) (+ a 1)) (- a 3)) (+ (* a a) (* (- 3 a) 3))))))) * * * * [misc]progress: [ 1524 / 8076 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (- (* 3 3) (* a 3))) (+ 1 a)) (* (- a 3) (+ 1 a))) (* (* (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* 1 1) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* 1 (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- a 3) (+ 1 a)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (477 enodes)