* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 146 additional inputs, on iter 1 have 110 / 256 * * * * [misc]points: Computing exacts on every 9 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 146 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 94 additional inputs, on iter 2 have 162 / 256 * * * * [misc]points: Computing exacts on every 5 of 94 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 94 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 94 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 48 additional inputs, on iter 3 have 208 / 256 * * * * [misc]points: Computing exacts on every 3 of 48 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 48 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 32 additional inputs, on iter 4 have 224 / 256 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 5 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* b b) 4) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (pow (/ 1 (/ 1 b)) 2)) into (* 4 (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (pow (/ 1 (/ 1 (- b))) 2)) into (* 4 (pow b 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ (* a a) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (+ (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (+ (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (+ (pow a 2) (pow b 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (* a a) (* b b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (+ (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (+ (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (+ (pow a 2) (pow b 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (pow (+ (* a a) (* b b)) (+ 1 1)) (- 1 (* (* b b) 4)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (pow (+ (* a a) (* b b)) 2) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (pow (+ (* a a) (* b b)) (+ 1 1)) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (log (+ (* a a) (* b b))) (log (+ (* a a) (* b b))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b))) (* (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (pow (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 3)) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) (- 1 (* (* b b) 4)))) * [enter]simplify: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (* (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (pow (* a a) 3) (pow (* b b) 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * [enter]simplify: Simplifying (* (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (+ (* a (pow a 5)) (* b (pow b 5))) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (pow (* a a) 3) (pow (* b b) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))) (- 1 (* (* b b) 4)))) * [enter]simplify: Simplifying (* (- (* a a) (* b b)) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (+ (pow a 4) (pow b 4)) (* (* a b) (* a b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (+ (* (pow a 3) (pow a 3)) (pow (* b b) 3)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (+ (pow a 4) (pow b 4)) (* (* a b) (* a b))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * [enter]simplify: Simplifying (* (- (* a a) (* b b)) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * [exit]simplify: Simplified to (* (- (* a a) (* b b)) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (- (pow a 4) (pow b 4)) (- (pow a 4) (pow b 4))) (* (- (* a a) (* b b)) (- (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (* b b)) (* b b)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (* (+ (* a a) (* b b)) (* a a)) (* (* b b) (+ (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (* b b) (+ (* b b) (* a a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (+ (* b b) (* a a)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (* (+ (* a a) (* b b)) (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))) (cbrt (+ (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (* (+ (* a a) (* b b)) 1) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a a) (* b b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (+ (* a a) (* b b)) (+ (pow (* a a) 3) (pow (* b b) 3))) (- (+ (pow b 4) (pow a 4)) (* (* b a) (* b a)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (+ (* a a) (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (* (+ a b) (- a b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* a a) 3) (pow (* b b) 3)) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (pow a 3) (pow a 3)) (* (pow b 5) b)) (+ (* a a) (* b b))) (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (* b b)) (- (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* a a) (* b b)) (- (pow a 4) (pow b 4))) (- (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a a)) (exp (* b b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (- (* (+ (* a a) (* b b)) (log (exp (+ (* a a) (* b b))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a a)) (exp (* b b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (* (log (exp (+ (* a a) (* b b)))) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (pow b 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* b b) 4) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (pow b 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* b b) 4) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (pow b 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* b b) 4) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (- 1 (* (* b b) 4)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* b b) 4) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (pow b 2)) into (* 4 (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (pow (/ 1 (/ 1 b)) 2)) into (* 4 (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (pow (/ 1 (/ 1 (- b))) 2)) into (* 4 (pow b 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow a 4) -1) into (- (pow a 4) 1) * [misc]taylor: Taking taylor expansion of (- (pow a 4) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- -4) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 4) into (+ (* 2 (pow a 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow a 2)) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* 1 b) 2)) -1) into (- (* 4 (pow b 2)) 1) * [misc]approximate: Taking taylor expansion of (- (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- -4) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow a 2))) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) -1) into (- (/ 1 (pow a 4)) 1) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (- (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- -4) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow a 2))) 4) into (+ (* 2 (/ 1 (pow a 2))) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) -1) into (- (/ 1 (pow a 4)) 1) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 0) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4))) into (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) * [misc]approximate: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2))) into (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) * [misc]approximate: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow b 2))) into (/ 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 2 (pow b 2)) 0) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2))) into (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (pow (* a b) 2)) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log a) (log b))))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (exp (* 2 (+ (log b) (log a))))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (exp (* (+ (log b) (log a)) 2))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* (pow a 2) 1) (* b b))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp (pow b 4)) (* (exp (* 2 (* (pow a 2) (pow b 2)))) (exp (pow a 4)))) (exp (- 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (exp (+ (- (pow b 4) 1) (* (* b 4) b))) (* (exp (pow a 4)) (pow (exp 2) (* (* a b) (* a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (* (exp (+ (- (pow b 4) 1) (* (* b 4) b))) (* (exp (pow a 4)) (pow (exp 2) (* (* a b) (* a b))))))) * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp (pow b 4)) (exp (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (exp (- 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (exp (+ (- (pow b 4) 1) (* 4 (* b b)))) (* (exp (pow a 4)) (pow (exp 2) (* (* a b) (* a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (* (exp (+ (- (pow b 4) 1) (* 4 (* b b)))) (* (exp (pow a 4)) (pow (exp 2) (* (* a b) (* a b))))))) * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (exp (- 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (* (* (pow (exp 2) (* (* a b) (* a b))) (exp (pow a 4))) (exp (+ (* (* b b) 4) (- (pow b 4) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (log (* (* (pow (exp 2) (* (* a b) (* a b))) (exp (pow a 4))) (exp (+ (* (* b b) 4) (- (pow b 4) 1)))))) * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (* (* b b) 4) 3)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (pow a 4) (* (* 2 b) (* (* a a) b)))) (* (+ (pow a 4) (* (* 2 b) (* (* a a) b))) (+ (pow a 4) (* (* 2 b) (* (* a a) b))))) (* (pow (pow b 4) 3) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- 1 (* (* 64 (* b b)) (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* a a) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (pow a 4) (* (* 2 b) (* (* a a) b)))) (* (+ (pow a 4) (* (* 2 b) (* (* a a) b))) (+ (pow a 4) (* (* 2 b) (* (* a a) b))))) (* (pow (pow b 4) 3) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- 1 (* (* 64 (* b b)) (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* a a) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b)))) (* (pow b 4) (pow b 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (+ (+ (* 4 (* b b)) 1) (* (* 16 (* b b)) (* b b))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow 1 3) (pow (* (* b b) 4) 3)))) (* (+ (+ (* 4 (* b b)) 1) (* (* 16 (* b b)) (* b b))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (- (+ (* (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* (* b b) 4) 1))) (+ (pow (pow b 4) 3) (* (pow (pow b 4) 3) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))) (+ (* (* b b) (* -16 (* b b))) 1))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (+ (* (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* (* b b) 4) 1))) (+ (pow (pow b 4) 3) (* (pow (pow b 4) 3) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))) (+ (* (* b b) (* -16 (* b b))) 1))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)))) * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ 1 (* (* b 4) b)) (* (* 16 (* b b)) (* b b)))) (- 1 (pow (* (* b 4) b) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ 1 (* (* b 4) b)) (* (* 16 (* b b)) (* b b)))) (- 1 (pow (* (* b 4) b) 3)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- (* (+ (+ (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b)) (+ (+ 1 (* (* b 4) b)) (* (* 16 (* b b)) (* b b)))) (- 1 (pow (* (* b 4) b) 3)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- (* (+ (* b (* b 4)) 1) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- (* (+ (* b (* b 4)) 1) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (+ (* (* b b) 4) 1) (- (* (* (* a b) (* a b)) -2) (- (pow a 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- (* (+ (* b (* b 4)) 1) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (* (* b b) 4) 1) (- (* (* (* a b) (* a b)) -2) (- (pow a 4) (pow b 4)))))) * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (sqrt (- 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) (sqrt (+ (* -4 (* b b)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) (sqrt (+ (* -4 (* b b)) 1))) (- (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (sqrt (- 1 (* (* b b) 4)))))) * [enter]simplify: Simplifying (- (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (sqrt (- 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) (sqrt (+ (* (* b b) -4) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (+ (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (sqrt (- 1 (* (* b b) 4)))) (- (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) (sqrt (+ (* (* b b) -4) 1))))) * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (+ (+ (* 2 (* (* a b) (* a b))) (pow b 4)) (+ (+ -1 (pow a 4)) (* b (* b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (+ (+ (* 2 (* (* a b) (* a b))) (pow b 4)) (+ (+ -1 (pow a 4)) (* b (* b 4)))))) * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (+ (+ (* 2 (* (* a b) (* a b))) (pow b 4)) (+ (+ -1 (pow a 4)) (* b (* b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (+ (+ (* 2 (* (* a b) (* a b))) (pow b 4)) (+ (+ -1 (pow a 4)) (* b (* b 4)))))) * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b b) 4)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (* -4 b) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 1) (* (* -4 b) b))) * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b b) 4)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (* -4 b) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (- (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 1) (* (* -4 b) b))) * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 4) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow b 4) * [misc]simplify: Simplified (2 1) to (λ (a b) (+ (pow b 4) (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (- 1 (* (* b b) 4))))) * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) 4) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* b 4) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 1) (* (* b 4) b))) * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 2 (* (pow a 2) (pow b 2)))) (exp (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (pow (exp 2) (* (* b a) (* b a))) (exp (pow a 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (- (+ (pow b 4) (log (* (pow (exp 2) (* (* b a) (* b a))) (exp (pow a 4))))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* b b) (* a a))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (pow b 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* b b) 4) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (pow b 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* b b) 4) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (pow b 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* b b) 4) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (pow b 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (* (* b b) 4) -1) * [misc]simplify: Simplified (2) to (λ (a b) (+ (* (* b b) 4) -1)) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2) to (λ (a b) (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4)))) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (+ (pow a 4) (* (* b a) (* (* b a) 2))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (pow b 4) (+ (pow a 4) (* (* b a) (* (* b a) 2)))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* b a) (* b a))) (pow a 4)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* b a) (* b a))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* b a) (* b a))) (pow a 4)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (pow b 4) (+ (* 2 (* (* b a) (* b a))) (pow a 4))) (- 1 (* (* b b) 4)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* b b) 4)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 4) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 4 (pow b 2))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 4 (pow b 2)))) into (- 1 (* 4 (pow b 2))) * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 8)) into (pow b 12) * [misc]backup-simplify: Simplify (* (- 1 (* 4 (pow b 2))) (- 1 (* 4 (pow b 2)))) into (pow (- 1 (* 4 (pow b 2))) 2) * [misc]backup-simplify: Simplify (* (- 1 (* 4 (pow b 2))) (pow (- 1 (* 4 (pow b 2))) 2)) into (pow (- 1 (* 4 (pow b 2))) 3) * [misc]backup-simplify: Simplify (- (pow (- 1 (* 4 (pow b 2))) 3)) into (- (+ (* 64 (pow b 6)) (* 12 (pow b 2))) (+ (* 48 (pow b 4)) 1)) * [misc]backup-simplify: Simplify (+ (pow b 12) (- (+ (* 64 (pow b 6)) (* 12 (pow b 2))) (+ (* 48 (pow b 4)) 1))) into (- (+ (* 64 (pow b 6)) (+ (* 12 (pow b 2)) (pow b 12))) (+ (* 48 (pow b 4)) 1)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* (pow b 4) (pow b 4)) into (pow b 8) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 4) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 4 (pow b 2))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 4 (pow b 2)))) into (- 1 (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 4) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 4 (pow b 2))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 4 (pow b 2)))) into (- 1 (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (* (- 1 (* 4 (pow b 2))) (- 1 (* 4 (pow b 2)))) into (pow (- 1 (* 4 (pow b 2))) 2) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 4) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (- (* 4 (pow b 2))) into (- (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 (- (* 4 (pow b 2)))) into (- 1 (* 4 (pow b 2))) * [misc]backup-simplify: Simplify (* (pow b 4) (- 1 (* 4 (pow b 2)))) into (* (- 1 (* 4 (pow b 2))) (pow b 4)) * [misc]backup-simplify: Simplify (+ (pow (- 1 (* 4 (pow b 2))) 2) (* (- 1 (* 4 (pow b 2))) (pow b 4))) into (- (+ (* 17 (pow b 4)) 1) (+ (* 4 (pow b 6)) (* 8 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (pow b 8) (- (+ (* 17 (pow b 4)) 1) (+ (* 4 (pow b 6)) (* 8 (pow b 2))))) into (- (+ (* 17 (pow b 4)) (+ (pow b 8) 1)) (+ (* 4 (pow b 6)) (* 8 (pow b 2)))) * [misc]backup-simplify: Simplify (/ (- (+ (* 64 (pow b 6)) (+ (* 12 (pow b 2)) (pow b 12))) (+ (* 48 (pow b 4)) 1)) (- (+ (* 17 (pow b 4)) (+ (pow b 8) 1)) (+ (* 4 (pow b 6)) (* 8 (pow b 2))))) into (/ (- (+ (* 64 (pow b 6)) (+ (* 12 (pow b 2)) (pow b 12))) (+ (* 48 (pow b 4)) 1)) (- (+ (* 17 (pow b 4)) (+ (pow b 8) 1)) (+ (* 4 (pow b 6)) (* 8 (pow b 2))))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* b b) 4)) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 8)) into (pow a 12) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow a 12) -1) into (- (pow a 12) 1) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow a 4) 1) into (pow a 4) * [misc]backup-simplify: Simplify (+ 1 (pow a 4)) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (+ (pow a 8) (+ (pow a 4) 1)) into (+ (pow a 4) (+ (pow a 8) 1)) * [misc]backup-simplify: Simplify (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) into (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* b b) 4)) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 8)) into (pow a 12) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow a 12) -1) into (- (pow a 12) 1) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow a 4) 1) into (pow a 4) * [misc]backup-simplify: Simplify (+ 1 (pow a 4)) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (+ (pow a 8) (+ (pow a 4) 1)) into (+ (pow a 4) (+ (pow a 8) 1)) * [misc]backup-simplify: Simplify (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) into (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) in a * [misc]taylor: Taking taylor expansion of (- (pow a 12) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 12) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 (pow a 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 (pow a 8))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 (pow a 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (pow a 4) (+ (pow a 8) 1))) (+ (* (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) (/ 0 (+ (pow a 4) (+ (pow a 8) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) (* 2 (pow a 2))) (+ (* 0 0) (* (* 2 (pow a 2)) (pow a 4)))) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) (* 4 (pow a 6))) (+ (* 0 0) (* (* 2 (pow a 2)) (pow a 8)))) into (* 6 (pow a 10)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 1 -4) (+ (* 0 0) (* -4 1))) into -8 * [misc]backup-simplify: Simplify (+ (* 1 -8) (+ (* 0 0) (* -4 1))) into -12 * [misc]backup-simplify: Simplify (- -12) into 12 * [misc]backup-simplify: Simplify (+ (* 6 (pow a 10)) 12) into (+ (* 6 (pow a 10)) 12) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) (* 2 (pow a 2))) (+ (* 0 0) (* (* 2 (pow a 2)) (pow a 4)))) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 1 -4) (+ (* 0 0) (* -4 1))) into -8 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) -4) (+ (* 0 0) (* (* 2 (pow a 2)) 1))) into (- (* 2 (pow a 2)) (* 4 (pow a 4))) * [misc]backup-simplify: Simplify (+ -8 (- (* 2 (pow a 2)) (* 4 (pow a 4)))) into (- (* 2 (pow a 2)) (+ (* 4 (pow a 4)) 8)) * [misc]backup-simplify: Simplify (+ (* 4 (pow a 6)) (- (* 2 (pow a 2)) (+ (* 4 (pow a 4)) 8))) into (- (+ (* 2 (pow a 2)) (* 4 (pow a 6))) (+ (* 4 (pow a 4)) 8)) * [misc]backup-simplify: Simplify (- (/ (+ (* 6 (pow a 10)) 12) (+ (pow a 4) (+ (pow a 8) 1))) (+ (* (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) (/ (- (+ (* 2 (pow a 2)) (* 4 (pow a 6))) (+ (* 4 (pow a 4)) 8)) (+ (pow a 4) (+ (pow a 8) 1)))) (* 0 (/ 0 (+ (pow a 4) (+ (pow a 8) 1)))))) into (- (+ (* 12 (/ 1 (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 8 (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))))))) (+ (* 4 (/ (pow a 18) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 2 (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (/ 1 (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 8 (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))))))) (+ (* 4 (/ (pow a 18) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 2 (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 8 (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))))))) in a * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (+ (pow a 4) (+ (pow a 8) 1)))) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow a 4) (+ (pow a 8) 1))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* 8 (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 12) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))))) in a * [misc]taylor: Taking taylor expansion of (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) in a * [misc]taylor: Taking taylor expansion of 6 in a * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 10) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 16) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow a 18) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 2 (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 18) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow a 18) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 18) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 14) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (+ (pow a 4) (+ (pow a 8) 1)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (* 8 1) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (- 8) into -8 * [misc]backup-simplify: Simplify (+ 12 -8) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 (* 2 (pow a 2))) (+ (* (* 2 (pow a 2)) 0) (* 0 (pow a 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 (* 4 (pow a 6))) (+ (* (* 2 (pow a 2)) 0) (* 0 (pow a 8))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -4) (+ (* -4 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -8) (+ (* -4 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 (* 2 (pow a 2))) (+ (* (* 2 (pow a 2)) 0) (* 0 (pow a 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -4) (+ (* -4 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 -4) (+ (* (* 2 (pow a 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (pow a 4) (+ (pow a 8) 1))) (+ (* (/ (- (pow a 12) 1) (+ (pow a 4) (+ (pow a 8) 1))) (/ 0 (+ (pow a 4) (+ (pow a 8) 1)))) (* 0 (/ (- (+ (* 2 (pow a 2)) (* 4 (pow a 6))) (+ (* 4 (pow a 4)) 8)) (+ (pow a 4) (+ (pow a 8) 1)))) (* (- (+ (* 12 (/ 1 (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 8 (/ (pow a 12) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 6 (/ (pow a 10) (+ (pow a 4) (+ (pow a 8) 1)))) (+ (* 4 (/ (pow a 16) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 6) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 2 (/ (pow a 2) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2)))))))) (+ (* 4 (/ (pow a 18) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 2 (/ (pow a 14) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (+ (* 4 (/ (pow a 4) (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))) (* 8 (/ 1 (pow (+ (pow a 4) (+ (pow a 8) 1)) 2))))))) (/ 0 (+ (pow a 4) (+ (pow a 8) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 4 (pow (* 1 b) 2)) -1) into (- (* 4 (pow b 2)) 1) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 4) into (/ 4 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 4 (pow b 2))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 4 (/ 1 (pow b 2))))) into (- 1 (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 4 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow a 2))) 0) into (* 6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* 1 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 2))) -4) into (- (* 4 (/ 1 (pow a 2))) 4) * [misc]backup-simplify: Simplify (- (/ (* 6 (/ 1 (pow a 2))) 1) (+ (* 1 (/ (- (* 4 (/ 1 (pow a 2))) 4) 1)) (* 0 (/ 0 1)))) into (+ (* 2 (/ 1 (pow a 2))) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 4 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4 (/ 1 (pow a 2))) 4) 1)) (* (+ (* 2 (/ 1 (pow a 2))) 4) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 6 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 1 (* 6 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 15 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 15 (/ 1 (pow a 4))) 0) into (* 15 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 6 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* -4 -4) into 16 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) -4))) into (- 1 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 16 (- 1 (* 8 (/ 1 (pow a 2))))) into (- 17 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow a 4))) (- 17 (* 8 (/ 1 (pow a 2))))) into (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- (/ (* 15 (/ 1 (pow a 4))) 1) (+ (* 1 (/ (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) 1)) (* 0 (/ 0 1)) (* (+ (* 2 (/ 1 (pow a 2))) 4) (/ (- (* 4 (/ 1 (pow a 2))) 4) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow a 4)) 1) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 4) into (/ 4 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 4 (pow b 2))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 1 (- (* 4 (/ 1 (pow b 2))))) into (- 1 (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) 3) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) 3) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 4 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow a 2))) 0) into (* 6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* 1 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 2))) -4) into (- (* 4 (/ 1 (pow a 2))) 4) * [misc]backup-simplify: Simplify (- (/ (* 6 (/ 1 (pow a 2))) 1) (+ (* 1 (/ (- (* 4 (/ 1 (pow a 2))) 4) 1)) (* 0 (/ 0 1)))) into (+ (* 2 (/ 1 (pow a 2))) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 4 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4 (/ 1 (pow a 2))) 4) 1)) (* (+ (* 2 (/ 1 (pow a 2))) 4) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 6 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 1 (* 6 (/ 1 (pow a 4)))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 15 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 15 (/ 1 (pow a 4))) 0) into (* 15 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 6 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* -4 -4) into 16 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) -4))) into (- 1 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 16 (- 1 (* 8 (/ 1 (pow a 2))))) into (- 17 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow a 4))) (- 17 (* 8 (/ 1 (pow a 2))))) into (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- (/ (* 15 (/ 1 (pow a 4))) 1) (+ (* 1 (/ (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) 1)) (* 0 (/ 0 1)) (* (+ (* 2 (/ 1 (pow a 2))) 4) (/ (- (* 4 (/ 1 (pow a 2))) 4) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow a 4)) 1) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* (* b b) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) 4) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* (pow a 4) (pow a 4)) into (pow a 8) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 4) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow a 4) 1) into (pow a 4) * [misc]backup-simplify: Simplify (+ 1 (pow a 4)) into (+ (pow a 4) 1) * [misc]backup-simplify: Simplify (+ (pow a 8) (+ (pow a 4) 1)) into (+ (pow a 4) (+ (pow a 8) 1)) * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (+ (pow a 8) 1)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 8) 1) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 (pow a 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) (* 2 (pow a 2))) (+ (* 0 0) (* (* 2 (pow a 2)) (pow a 4)))) into (* 4 (pow a 6)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 1 -4) (+ (* 0 0) (* -4 1))) into -8 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 4))) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) -4) (+ (* 0 0) (* (* 2 (pow a 2)) 1))) into (- (* 2 (pow a 2)) (* 4 (pow a 4))) * [misc]backup-simplify: Simplify (+ -8 (- (* 2 (pow a 2)) (* 4 (pow a 4)))) into (- (* 2 (pow a 2)) (+ (* 4 (pow a 4)) 8)) * [misc]backup-simplify: Simplify (+ (* 4 (pow a 6)) (- (* 2 (pow a 2)) (+ (* 4 (pow a 4)) 8))) into (- (+ (* 2 (pow a 2)) (* 4 (pow a 6))) (+ (* 4 (pow a 4)) 8)) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (pow a 2)) (* 4 (pow a 6))) (+ (* 4 (pow a 4)) 8)) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow a 2)) (* 4 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 4)) 8) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (- 8) into -8 * [misc]backup-simplify: Simplify (+ 0 -8) into -8 * [misc]backup-simplify: Simplify -8 into -8 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 (* 2 (pow a 2))) (+ (* (* 2 (pow a 2)) 0) (* 0 (pow a 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -4) (+ (* -4 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 -4) (+ (* (* 2 (pow a 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -8 (pow (* 1 b) 2)) 1) into (- 1 (* 8 (pow b 2))) * [misc]approximate: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) (- 1 (* (* (/ 1 b) (/ 1 b)) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 b) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* 1 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 2))) -4) into (- (* 4 (/ 1 (pow a 2))) 4) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 6 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* -4 -4) into 16 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) -4))) into (- 1 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 16 (- 1 (* 8 (/ 1 (pow a 2))))) into (- 17 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow a 4))) (- 17 (* 8 (/ 1 (pow a 2))))) into (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (pow a 4))) 17) in a * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 6 in a * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 17 in a * [misc]backup-simplify: Simplify 17 into 17 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow a 4))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (/ 1 (pow a 4)) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 -4)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (/ 1 (pow a 4)) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* 0 1))))))) into (* 4 (/ 1 (pow a 6))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -4 1) (+ (* 0 0) (* 1 -4))) into -8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 1) (+ (* 0 0) (* (/ 1 (pow a 4)) -4))))) into (- (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (+ -8 (- (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 4))))) into (- (* 2 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 4))) 8)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 6))) (- (* 2 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 4))) 8))) into (- (+ (* 4 (/ 1 (pow a 6))) (* 2 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 4))) 8)) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 6))) (* 2 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 4))) 8)) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 6))) (* 2 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 4))) 8) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 (/ 1 (pow a 4))) (+ (* (/ 1 (pow a 4)) 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 1) (+ (* 1 0) (* 0 -4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 1) (+ (* (/ 1 (pow a 4)) 0) (* 0 -4)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 0) (+ (* (/ 1 (pow a 4)) (/ 1 (pow a 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow a 8)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 -4))))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 0) (+ (* (/ 1 (pow a 4)) 1) (+ (* 0 0) (* 0 -4))))))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow a 4))) into (+ (/ 1 (pow a 4)) 1) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 8)) (+ (/ 1 (pow a 4)) 1)) into (+ (/ 1 (pow a 4)) (+ (/ 1 (pow a 8)) 1)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow a 8)) 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 8)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 8)) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 4)) (+ (* 4 (pow (* (pow (/ 1 a) -3) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 8)))) into (+ (* 6 (* (pow a 4) (pow b 4))) (+ (* 4 (* (pow a 6) (pow b 2))) (pow a 8))) * [misc]approximate: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in a * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)))) in b * [misc]taylor: Taking taylor expansion of (* (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (* (/ 1 (- b)) (/ 1 (- b))) 4)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) 4) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) 1))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* 1 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 2))) -4) into (- (* 4 (/ 1 (pow a 2))) 4) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow a 2))) 4) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* (/ 1 (pow a 4)) 1))))) into (* 6 (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 4) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (* -4 -4) into 16 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 2 (pow a 2)) 0) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 1) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) -4))) into (- 1 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 16 (- 1 (* 8 (/ 1 (pow a 2))))) into (- 17 (* 8 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow a 4))) (- 17 (* 8 (/ 1 (pow a 2))))) into (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 6 (/ 1 (pow a 4))) 17) (* 8 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (pow a 4))) 17) in a * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 6 in a * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 17 in a * [misc]backup-simplify: Simplify 17 into 17 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow a 4))) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* (/ 1 (pow a 4)) 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (* 0 -4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 -4)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) (/ 1 (pow a 4))) (+ (* 0 0) (+ (* (/ 1 (pow a 4)) (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* 0 1))))))) into (* 4 (/ 1 (pow a 6))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -4 1) (+ (* 0 0) (* 1 -4))) into -8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 1) (+ (* 0 0) (* (/ 1 (pow a 4)) -4))))) into (- (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (+ -8 (- (* 2 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 4))))) into (- (* 2 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 4))) 8)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow a 6))) (- (* 2 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 4))) 8))) into (- (+ (* 4 (/ 1 (pow a 6))) (* 2 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 4))) 8)) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 6))) (* 2 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 4))) 8)) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 6))) (* 2 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 6))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 4))) 8) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 (/ 1 (pow a 4))) (+ (* (/ 1 (pow a 4)) 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 1) (+ (* 1 0) (* 0 -4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 1) (+ (* (/ 1 (pow a 4)) 0) (* 0 -4)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 0) (+ (* (/ 1 (pow a 4)) (/ 1 (pow a 4))) (+ (* 0 0) (+ (* 0 (* 2 (/ 1 (pow a 2)))) (+ (* 0 0) (* 0 1))))))))) into (/ 1 (pow a 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 -4))))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 4))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 0) (+ (* (/ 1 (pow a 4)) 1) (+ (* 0 0) (* 0 -4))))))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 (/ 1 (pow a 4))) into (+ (/ 1 (pow a 4)) 1) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 8)) (+ (/ 1 (pow a 4)) 1)) into (+ (/ 1 (pow a 4)) (+ (/ 1 (pow a 8)) 1)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 4)) (+ (/ 1 (pow a 8)) 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow a 8)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 8)) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify (+ 6 0) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 4)) (+ (* 4 (pow (* (pow (/ 1 (- a)) -3) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 8)))) into (+ (* 6 (* (pow a 4) (pow b 4))) (+ (* 4 (* (pow a 6) (pow b 2))) (pow a 8))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (log (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (- (log (+ (pow (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (+ -1 (- (* b (* b -4))))))) (log (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (+ (pow (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (+ -1 (- (* b (* b -4))))))) (log (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1))))))) * * * * [misc]progress: [ 3 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (* (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (424 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (+ (- (* -4 (* b b))) -1)) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3)) (+ (* (+ (* -4 (* b b)) 1) (+ (+ (* -4 (* b b)) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (+ (* (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (+ (- (* -4 (* b b))) -1)) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3)) (+ (* (+ (* -4 (* b b)) 1) (+ (+ (* -4 (* b b)) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))) 3))) * * * * [misc]progress: [ 6 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (+ (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (/ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (+ (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1)))) (/ (pow (- 1 (* (* b b) 4)) 3) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * * * [misc]progress: [ 11 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (+ -1 (- (* (* -4 b) b)))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* (* -4 b) b))) (+ (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (/ (cbrt (+ (* (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (+ -1 (- (* (* -4 b) b)))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* (* -4 b) b))) (+ (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (+ (* (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (+ -1 (- (* (* -4 b) b)))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* (* -4 b) b))) (+ (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (/ (cbrt (+ (* (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (+ -1 (- (* (* -4 b) b)))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* (* -4 b) b))) (+ (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))))) (/ (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (cbrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (cbrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))))) * * * * [misc]progress: [ 12 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* (+ -1 (- (* (* b -4) b))) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3))) (cbrt (+ (* (+ -1 (- (* (* b -4) b))) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3)))) (sqrt (+ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b -4) b) 1)) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (+ (* (+ -1 (- (* (* b -4) b))) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3))) (cbrt (+ (* (+ -1 (- (* (* b -4) b))) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3)))) (sqrt (+ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b -4) b) 1)) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))))) (/ (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (sqrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (sqrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))))) * * * * [misc]progress: [ 13 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))))) (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))))) (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))))) (/ (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* (+ (- (* -4 (* b b))) -1) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* -4 (* b b))))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) 1) (/ (cbrt (+ (* (+ (- (* -4 (* b b))) -1) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* -4 (* b b))))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))))) * * * * [misc]progress: [ 14 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3))) (* (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (+ (* (* b b) -4) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))) (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (+ (* (* b b) -4) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (+ (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3))) (* (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (+ (* (* b b) -4) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))) (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (+ (* (* b b) -4) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))))) (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (cbrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (+ (* (+ (- (* (* b b) -4)) -1) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3))) (* (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (+ (* (* b b) -4) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))) (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (+ (* (* b b) -4) 1) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))))) (/ (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (cbrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))))) * * * * [misc]progress: [ 15 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (sqrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (sqrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))) (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (sqrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3) (* (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (+ (- (* b (* -4 b))) -1)))) (sqrt (+ (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ 1 (* b (* -4 b))))))))) * * * * [misc]progress: [ 16 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4)))) (+ -1 (- (* b (* b -4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4)))) (+ -1 (- (* b (* b -4))))))) (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (+ (- (* -4 (* b b))) -1) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* -4 (* b b))))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) 1) (/ (sqrt (+ (* (+ (- (* -4 (* b b))) -1) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* -4 (* b b))))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))))) * * * * [misc]progress: [ 17 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (cbrt (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (cbrt (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))))) (* (cbrt (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))) (cbrt (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))))))) (/ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* b b) 4) -1))) (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* b b) 4) -1))) (cbrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 18 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ 1 (* b (* -4 b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ 1 (* b (* -4 b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ 1 (* b (* -4 b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ 1 (* b (* -4 b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))))))) (/ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* b b) 4) -1))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (+ (* 2 (* (* a a) (* b b))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* b b) 4) -1))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 19 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) (/ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (+ (pow b 4) -1) (* (* b b) 4)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* (* -4 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) (/ (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (+ (+ (pow b 4) -1) (* (* b b) 4)))) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (+ 1 (* (* -4 b) b)) (+ 1 (* (* -4 b) b)))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* (* -4 b) b))))))) * * * * [misc]progress: [ 20 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))) (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))) (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 21 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 22 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 23 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 24 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 25 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 26 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 27 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 28 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 29 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (cbrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (cbrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))))) * * * * [misc]progress: [ 30 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* b (* b -4)) 1))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))))) * * * * [misc]progress: [ 31 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (+ (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* -4 (* b b)) 1)) (+ (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) 1) (/ (- (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (+ (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* -4 (* b b)) 1)) (+ (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 32 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 33 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 34 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 35 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))))) (* (+ 1 (* b (* -4 b))) (sqrt (+ 1 (* b (* -4 b)))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (cbrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 36 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (- 1 (* b (* b 4))) (sqrt (- 1 (* b (* b 4)))))) (sqrt (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (- 1 (* b (* b 4)))) (+ (* (- 1 (* b (* b 4))) (- 1 (* b (* b 4)))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (sqrt (+ 1 (* (* b b) -4))))) (sqrt (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ 1 (* (* b b) -4))) (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))))))) * * * * [misc]progress: [ 37 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) (/ (- (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))))) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (+ (+ (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 38 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* (* b b) -4) 1)) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (cbrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (cbrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))))) * * * * [misc]progress: [ 39 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* b (* b -4)) 1))))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* b -4)) 1))))))) * * * * [misc]progress: [ 40 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* b (* b -4)) 1) 3))) (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (- (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (+ (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* -4 (* b b)) 1)) (+ (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) 1) (/ (- (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (+ (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* -4 (* b b)) 1)) (+ (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (* (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))) (+ (* b (* (* 2 a) (* a b))) (+ (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 41 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (cbrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (cbrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))))) * * * * [misc]progress: [ 42 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1))))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (sqrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (sqrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))))) * * * * [misc]progress: [ 43 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3)) (* (+ (* (* b -4) b) 1) (sqrt (+ (* (* b -4) b) 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b -4) b) 1)) (+ (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3)) (* (+ (* (* b -4) b) 1) (sqrt (+ (* (* b -4) b) 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b -4) b) 1)) (+ (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))))) * * * * [misc]progress: [ 44 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (* (+ (* b (* -4 b)) 1) (sqrt (+ (* b (* -4 b)) 1)))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (cbrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1)) (+ (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (cbrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (cbrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))))) * * * * [misc]progress: [ 45 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) (sqrt (+ (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* b -4)) 1))))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (sqrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) 3)) (* (+ (* (* b b) -4) 1) (sqrt (+ (* (* b b) -4) 1)))) (sqrt (+ (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (* (* b b) -4) 1))))))) * * * * [misc]progress: [ 46 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* b (* b -4)) 1) (sqrt (+ (* b (* b -4)) 1)))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3)) (* (+ (* (* b -4) b) 1) (sqrt (+ (* (* b -4) b) 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b -4) b) 1)) (+ (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) 1) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) 3)) (* (+ (* (* b -4) b) 1) (sqrt (+ (* (* b -4) b) 1)))) (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b -4) b) 1)) (+ (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))))) * * * * [misc]progress: [ 47 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (cbrt (+ (* (+ (+ (+ (* -4 (* b b)) 1) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (* -4 (* b b)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (cbrt (+ (* (+ (+ (+ (* -4 (* b b)) 1) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (* -4 (* b b)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (cbrt (+ (* (+ (+ (+ (* -4 (* b b)) 1) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (* -4 (* b b)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (cbrt (+ (* (+ (+ (+ (* -4 (* b b)) 1) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (* -4 (* b b)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (+ (sqrt (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (cbrt (+ (* (+ (+ (+ (* -4 (* b b)) 1) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (* -4 (* b b)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (cbrt (+ (* (+ (+ (+ (* -4 (* b b)) 1) (+ (pow a 4) (pow b 4))) (* (* 2 (* a a)) (* b b))) (+ (* -4 (* b b)) 1)) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))))))) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (cbrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))))) * * * * [misc]progress: [ 48 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (sqrt (+ (+ (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* -4 (* b b)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (sqrt (+ (+ (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* -4 (* b b)) 1))))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (sqrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (- (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3)) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (sqrt (+ (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1)) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))))) * * * * [misc]progress: [ 49 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b)))) 3)) (sqrt (pow (+ (* b (* -4 b)) 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b)))) 3)) (sqrt (pow (+ (* b (* -4 b)) 1) 3))) (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (- 1 (* b (* b 4))) 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (+ (* (* a a) (* b (* b 2))) (- 1 (* b (* b 4))))) (- 1 (* b (* b 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (+ (sqrt (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b)))) 3)) (sqrt (pow (+ (* b (* -4 b)) 1) 3))) (/ (- (sqrt (pow (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (- 1 (* b (* b 4))) 3))) (+ (* (+ (+ (pow a 4) (pow b 4)) (+ (* (* a a) (* b (* b 2))) (- 1 (* b (* b 4))))) (- 1 (* b (* b 4)))) (* (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4))) (+ (* (* a a) (* b (* b 2))) (+ (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 50 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 51 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 52 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 53 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 54 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 55 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 56 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 57 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 58 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 59 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 60 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 61 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 62 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 63 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 64 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 65 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 66 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 67 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 68 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 69 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 70 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 71 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))) (cbrt (+ (+ (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 72 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* b (* b -4)) 1)) (+ (* (+ (* b (* b -4)) 1) (+ (* b (* b -4)) 1)) (* (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4))) (+ (* (* (* b b) (* a 2)) a) (+ (pow b 4) (pow a 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 73 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 74 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))) (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))) (cbrt (+ (+ (* (+ (* (* -4 b) b) 1) (+ (* (* -4 b) b) 1)) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* -4 b) b) 1))) (* (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4))) (+ (* (* 2 b) (* a (* a b))) (+ (pow a 4) (pow b 4)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (cbrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 75 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* b (* -4 b)))) (+ (* (+ 1 (* b (* -4 b))) (+ 1 (* b (* -4 b)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))))) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (/ (+ (pow (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) 3) (* (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)) (+ (- (* b (* -4 b))) -1))) (sqrt (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* b (* -4 b)) 1)) (* (+ (* b (* -4 b)) 1) (+ (* b (* -4 b)) 1)))))))) * * * * [misc]progress: [ 76 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (+ (* (+ (- (* b (* b -4))) -1) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (pow (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) 3)) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (* b (* b -4))) (+ 1 (* b (* b -4))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ 1 (* b (* b -4)))))))) * * * * [misc]progress: [ 77 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (* (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) (cbrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (cbrt (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))))) * * * * [misc]progress: [ 81 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (sqrt (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (sqrt (+ (* (- 1 (* b (* b 4))) (+ (+ (pow a 4) (pow b 4)) (+ (* (* (* 2 a) (* a b)) b) (- 1 (* b (* b 4)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))))) * * * * [misc]progress: [ 82 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ 1 (* (* b b) -4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) 1) (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ 1 (* (* b b) -4)))))) * * * * [misc]progress: [ 83 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4))) (- (+ 1 (* (* b b) -4)))))) (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4))) (- (+ 1 (* (* b b) -4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4))) (- (+ 1 (* (* b b) -4)))))) (cbrt (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 3) (* (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4))) (- (+ 1 (* (* b b) -4))))))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (cbrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))))) * * * * [misc]progress: [ 84 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3) (* (- (+ (* -4 (* b b)) 1)) (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (+ (pow (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) 3) (* (- (+ (* -4 (* b b)) 1)) (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1))))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (sqrt (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)))))) * * * * [misc]progress: [ 85 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ 1 (* (* b b) -4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))) (+ 1 (* (* b b) -4)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * * * [misc]progress: [ 86 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3))))) * * * * [misc]progress: [ 88 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3))))) * * * * [misc]progress: [ 89 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3)))))) * * * * [misc]progress: [ 90 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3))))) * * * * [misc]progress: [ 91 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (sqrt (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))))) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (sqrt (- 1 (* (* b b) 4))) 3))))) * * * * [misc]progress: [ 92 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (sqrt (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (sqrt (pow (+ (* (* b b) -4) 1) 3))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (sqrt (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (sqrt (pow (- 1 (* (* b b) 4)) 3)))))) * * * * [misc]progress: [ 93 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3))))) * * * * [misc]progress: [ 94 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (* (+ (* -4 (* b b)) 1) (sqrt (+ (* -4 (* b b)) 1)))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (pow (sqrt (- 1 (* (* b b) 4))) 3))))) * * * * [misc]progress: [ 95 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (sqrt (pow (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 3)) (sqrt (pow (+ (* -4 (* b b)) 1) 3))) (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (sqrt (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (sqrt (pow (- 1 (* (* b b) 4)) 3)))))) * * * * [misc]progress: [ 96 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 97 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 98 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 99 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 100 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 101 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 102 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 103 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 104 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (499 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (pow (+ (* 16 (* (* b b) (* b b))) (+ 1 (* 4 (* b b)))) 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (pow (+ (* 16 (* (* b b) (* b b))) (+ 1 (* 4 (* b b)))) 3))))) * * * * [misc]progress: [ 106 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (484 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 107 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 108 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (490 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))))))))) * * * * [misc]progress: [ 109 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))))))) * * * * [misc]progress: [ 110 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))))) * * * * [misc]progress: [ 111 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (457 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 112 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * * * * [misc]progress: [ 113 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 114 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 115 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 116 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))))))) * * * * [misc]progress: [ 117 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (468 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (+ 1 (* (* b 4) b)) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (+ 1 (* (* b 4) b)) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))))))) * * * * [misc]progress: [ 118 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))))))) * * * * [misc]progress: [ 119 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (478 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 120 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* (* 4 b) b))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* (* 4 b) b))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))))) * * * * [misc]progress: [ 121 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 122 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (* (+ 1 (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (* (+ 1 (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))))))) * * * * [misc]progress: [ 123 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 124 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* 4 b)))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* 4 b)))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 125 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))))) * * * * [misc]progress: [ 126 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))))))) * * * * [misc]progress: [ 127 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))))))))) * * * * [misc]progress: [ 128 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))))) * * * * [misc]progress: [ 129 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 130 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (pow (+ 1 (* (* b 4) b)) 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (pow (+ 1 (* (* b 4) b)) 3))))) * * * * [misc]progress: [ 131 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (483 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* (* b (* 4 b)) (+ (* b (* 4 b)) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* (* b (* 4 b)) (+ (* b (* 4 b)) 1)))))))) * * * * [misc]progress: [ 132 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) * * * * [misc]progress: [ 133 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* (* 4 b) b)) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b)))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ 1 (* (* 4 b) b)) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b)))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 134 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* b b) 4)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* b b) 4)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 135 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 136 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))))) * * * * [misc]progress: [ 137 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 138 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))))) * * * * [misc]progress: [ 139 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))))) * * * * [misc]progress: [ 140 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 141 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 142 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 143 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 144 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))))))) * * * * [misc]progress: [ 145 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 146 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))))) * * * * [misc]progress: [ 147 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 148 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) * * * * [misc]progress: [ 149 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 150 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 151 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 152 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 153 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))))))) * * * * [misc]progress: [ 154 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))))) * * * * [misc]progress: [ 155 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))))) * * * * [misc]progress: [ 156 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 157 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 158 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 159 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 160 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))))))) * * * * [misc]progress: [ 161 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 162 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))))) * * * * [misc]progress: [ 163 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 164 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) * * * * [misc]progress: [ 165 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 166 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 167 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 168 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 169 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (+ (- (+ 1 (* (* b b) -4))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (pow (+ 1 (* (* b b) -4)) 4)) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (+ (- (+ 1 (* (* b b) -4))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (pow (+ 1 (* (* b b) -4)) 4)) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 170 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (+ (+ (* b (* b -4)) 1) (* (- (- (* b (* b -4)) (+ (pow a 4) (pow b 4))) (* (* 2 b) (* (* b a) a))) (+ (* b (* b -4)) 1))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (+ (+ (* b (* b -4)) 1) (* (- (- (* b (* b -4)) (+ (pow a 4) (pow b 4))) (* (* 2 b) (* (* b a) a))) (+ (* b (* b -4)) 1))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 171 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 172 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 173 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (pow (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (pow (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) 3))))) * * * * [misc]progress: [ 174 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (+ (* (* 4 b) b) 1) (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (* 4 b) b) 1) (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))))) * * * * [misc]progress: [ 175 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 176 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 4 b) b) 1)) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 4 b) b) 1)) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))))) * * * * [misc]progress: [ 177 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))) * * * * [misc]progress: [ 178 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 179 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (498 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)))))) * * * * [misc]progress: [ 180 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 181 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (489 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (* 4 b) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (* 4 b) b) 1))))) * * * * [misc]progress: [ 182 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 183 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 184 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 185 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))))) * * * * [misc]progress: [ 186 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (+ (pow a 4) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (+ (pow a 4) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 187 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (481 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* b (* b 4)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))))) (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b))))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* b (* b 4)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))))) (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b))))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))))))) * * * * [misc]progress: [ 188 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))))) * * * * [misc]progress: [ 189 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 190 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 191 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 192 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))))) * * * * [misc]progress: [ 193 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* (* b 4) b)))))) * * * * [misc]progress: [ 194 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 195 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (+ 1 (* (* 4 b) b)) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (+ 1 (* (* 4 b) b)) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 196 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* (* b 4) b)))))) * * * * [misc]progress: [ 197 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (+ 1 (* (* b 4) b)) (* (* b b) (* 16 (* b b))))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (+ 1 (* (* b 4) b)) (* (* b b) (* 16 (* b b))))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))))))) * * * * [misc]progress: [ 198 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* (* b 4) b))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* (* b 4) b))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 199 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (* (* 2 b) (* a (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (* (* 2 b) (* a (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 200 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ 1 (* 4 (* b b))) 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ 1 (* 4 (* b b))) 3))))) * * * * [misc]progress: [ 201 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) * * * * [misc]progress: [ 202 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 203 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))))) * * * * [misc]progress: [ 204 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (* (* b 4) b) 1) (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (* (* b 4) b) 1) (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))))) * * * * [misc]progress: [ 205 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 206 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (* (* 4 b) b) 1) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (* (* 4 b) b) 1) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 207 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 208 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 209 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))) * * * * [misc]progress: [ 210 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 211 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))))))) * * * * [misc]progress: [ 212 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 213 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 214 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 215 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a))))) (* (+ (pow a 4) (* (* b b) (* a (* 2 a)))) (+ (pow a 4) (* (* b b) (* a (* 2 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a))))) (* (+ (pow a 4) (* (* b b) (* a (* 2 a)))) (+ (pow a 4) (* (* b b) (* a (* 2 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))))) * * * * [misc]progress: [ 216 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))) * * * * [misc]progress: [ 217 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* 4 (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* 4 (* b b))))))) * * * * [misc]progress: [ 218 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * * * * [misc]progress: [ 219 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))))) * * * * [misc]progress: [ 220 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (* (* b 4) b) 1) (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (* (* b 4) b) 1) (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))))) * * * * [misc]progress: [ 221 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 222 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (* (* 4 b) b) 1) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (* (* 4 b) b) 1) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 223 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 224 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 225 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (390 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))) * * * * [misc]progress: [ 226 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 227 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))))))) * * * * [misc]progress: [ 228 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 229 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 230 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 231 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a))))) (* (+ (pow a 4) (* (* b b) (* a (* 2 a)))) (+ (pow a 4) (* (* b b) (* a (* 2 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a))))) (* (+ (pow a 4) (* (* b b) (* a (* 2 a)))) (+ (pow a 4) (* (* b b) (* a (* 2 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* a (* 2 a)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))))) * * * * [misc]progress: [ 232 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))) * * * * [misc]progress: [ 233 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* 4 (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) (* a b)) b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* 4 (* b b))))))) * * * * [misc]progress: [ 234 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * * * * [misc]progress: [ 235 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (- (pow b 4) (+ (* -4 (* b b)) 1)))) (pow (+ (* -4 (* b b)) 1) 4)) (+ (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow a 4) (pow b 4))) (* (+ (* -4 (* b b)) 1) (+ (* -4 (* b b)) 1))) (+ (+ (pow a 4) (* (* (* b b) 2) (* a a))) (- (pow b 4) (+ (* -4 (* b b)) 1)))) (pow (+ (* -4 (* b b)) 1) 4)) (+ (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))))) * * * * [misc]progress: [ 236 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (- 1 (+ (+ (* b (* b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a a) (* 2 b)) b))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (* b (* -4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (- 1 (+ (+ (* b (* b 4)) (+ (pow a 4) (pow b 4))) (* (* (* a a) (* 2 b)) b))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (* b (* -4 b)) 1)))))) * * * * [misc]progress: [ 237 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)))))))) * * * * [misc]progress: [ 238 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 239 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 240 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 241 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (478 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))))) * * * * [misc]progress: [ 242 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b)))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* (* 2 b) b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b)))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b)))))))) * * * * [misc]progress: [ 243 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (482 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* a a) (* 2 (* b b))) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))) (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))))) (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (* (+ (* (* a a) (* 2 (* b b))) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (* (* a a) (* 2 (* b b))) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))) (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))))) (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (* (+ (* (* a a) (* 2 (* b b))) (- (pow a 4) (pow b 4))) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 244 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))))) * * * * [misc]progress: [ 245 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 246 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 247 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1))) (+ (* b (* b 4)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1))) (+ (* b (* b 4)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 248 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1)) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1)) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 249 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))))) (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))))) (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 250 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (496 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 251 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 252 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (429 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 253 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b)))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 254 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ 1 (* (* b 4) b)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ 1 (* (* b 4) b)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 255 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* b b) 4)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ 1 (* (* b b) 4)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 256 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (497 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (* b (* (* 2 a) (* a b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (* b (* (* 2 a) (* a b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))))))) * * * * [misc]progress: [ 257 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ 1 (* 4 (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ 1 (* 4 (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 258 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* b b) (* 16 (* b b))))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* b b) (* 16 (* b b))))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 259 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (484 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* 4 b) b)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (+ 1 (* (* 4 b) b)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (* (+ (* (* b b) (* 2 (* a a))) (- (pow a 4) (pow b 4))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 260 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ 1 (* (* 4 b) b)) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ 1 (* (* 4 b) b)) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))))))) * * * * [misc]progress: [ 261 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 262 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ 1 (* (* b b) 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (+ 1 (* (* b b) 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))))))) * * * * [misc]progress: [ 263 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (496 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 b) (* (* a a) b)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* 2 b) (* (* a a) b)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 264 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 265 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (474 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 266 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* 2 a) (* a b)) b) (pow a 4)) (+ (* (* (* 2 a) (* a b)) b) (pow a 4))) (* (pow (+ 1 (* (* b 4) b)) 3) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)) (pow b 4)) (* (pow (+ 1 (* (* b 4) b)) 3) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (+ (* (* (+ (* (* (* 2 a) (* a b)) b) (pow a 4)) (+ (* (* (* 2 a) (* a b)) b) (pow a 4))) (* (pow (+ 1 (* (* b 4) b)) 3) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)) (pow b 4)) (* (pow (+ 1 (* (* b 4) b)) 3) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))))))) * * * * [misc]progress: [ 267 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 268 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 269 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 270 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (450 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))))) (* (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))))) (* (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4)))))))) * * * * [misc]progress: [ 271 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* a a) (* b (* b 2))) (pow a 4)) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* a a) (* b (* b 2))) (pow a 4)) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 272 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))))) * * * * [misc]progress: [ 273 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))))) * * * * [misc]progress: [ 274 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 275 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))))) * * * * [misc]progress: [ 276 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))))) * * * * [misc]progress: [ 277 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))))) (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))))) (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 278 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 279 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ 1 (* b (* 4 b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ 1 (* b (* 4 b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 280 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 281 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 282 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (pow b 4)))))) * * * * [misc]progress: [ 283 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 284 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 285 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 286 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (450 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))))) (* (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))))) (* (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* a a) b))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4)))))))) * * * * [misc]progress: [ 287 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* a a) (* b (* b 2))) (pow a 4)) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* a a) (* b (* b 2))) (pow a 4)) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 288 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))))) * * * * [misc]progress: [ 289 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (410 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))))) * * * * [misc]progress: [ 290 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 291 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (427 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))))) * * * * [misc]progress: [ 292 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))))) * * * * [misc]progress: [ 293 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (445 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))))) (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))))) (- (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 294 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 295 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ 1 (* b (* 4 b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ 1 (* b (* 4 b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 296 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (314 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 297 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 298 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (pow b 4)))))) * * * * [misc]progress: [ 299 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (+ 1 (* (* b 4) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 300 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 301 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (+ (* (* b (* b 2)) (* a a)) (- (+ (pow a 4) (pow b 4)) (+ (* (* b -4) b) 1)))) (pow (+ (* (* b -4) b) 1) 4)) (+ (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (+ (* (* b (* b 2)) (* a a)) (pow a 4)) (+ (* (* b (* b 2)) (* a a)) (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow a 4) (pow b 4))) (* (+ (* (* b -4) b) 1) (+ (* (* b -4) b) 1))) (+ (* (* b (* b 2)) (* a a)) (- (+ (pow a 4) (pow b 4)) (+ (* (* b -4) b) 1)))) (pow (+ (* (* b -4) b) 1) 4)) (+ (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (+ (* (* b (* b 2)) (* a a)) (pow a 4)) (+ (* (* b (* b 2)) (* a a)) (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (pow b 4))))))) * * * * [misc]progress: [ 302 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1)) (+ 1 (- (- (* (* b b) -4) (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1)) (+ 1 (- (- (* (* b b) -4) (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 303 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (pow (+ (+ (* b (* b 4)) 1) (* (* b b) (* (* b b) 16))) 3)) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (pow (+ (+ (* b (* b 4)) 1) (* (* b b) (* (* b b) 16))) 3)) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 304 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (457 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))))) (* (+ (* b (* b 4)) 1) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))))) (* (+ (* b (* b 4)) 1) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 305 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (352 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* 4 b) b) 1) (* (* b b) (* (* b b) 16)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* 4 b) b) 1) (* (* b b) (* (* b b) 16)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* 4 b) b) 1) (* (* b b) (* (* b b) 16)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* 4 b) b) 1) (* (* b b) (* (* b b) 16)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* 4 b) b) 1) (* (* b b) (* (* b b) 16)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (+ (* (* 4 b) b) 1) (* (* b b) (* (* b b) 16)))))))) * * * * [misc]progress: [ 306 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* b 4) b) 1)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* b 4) b) 1)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))))))) * * * * [misc]progress: [ 307 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (pow (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (pow (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) 3)))) * * * * [misc]progress: [ 308 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 309 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))))))) * * * * [misc]progress: [ 310 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b))))) (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b))))) (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3)))) * * * * [misc]progress: [ 311 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (486 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (+ (* b (* 4 b)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (- (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (+ (* b (* 4 b)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (- (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 312 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (479 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* 2 a) (* a b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1))))))) * * * * [misc]progress: [ 313 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (367 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 314 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (361 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (* (+ (* (* 4 b) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))))) * * * * [misc]progress: [ 315 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 316 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 317 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (+ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)))))) * * * * [misc]progress: [ 318 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (pow (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) 3) (* (+ (* (* b b) (* (* b b) 16)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (pow (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) 3) (* (+ (* (* b b) (* (* b b) 16)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1))))) * * * * [misc]progress: [ 319 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (465 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (+ (* (* 4 b) b) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (+ (* (* 4 b) b) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 320 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b)))))))) * * * * [misc]progress: [ 321 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 322 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1)) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1)) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1)) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))))) * * * * [misc]progress: [ 323 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* b (* b 4)) 1) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* b (* b 4)) 1) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))))) * * * * [misc]progress: [ 324 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (307 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 325 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* (* 4 b) b) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* (* 4 b) b) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))))))) * * * * [misc]progress: [ 326 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3) (* (+ (* b (* 4 b)) 1) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3) (* (+ (* b (* 4 b)) 1) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 327 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (pow b 4)))))) * * * * [misc]progress: [ 328 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (pow (+ (* (* b b) 4) 1) 3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (pow (+ (* (* b b) 4) 1) 3))))) * * * * [misc]progress: [ 329 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* 4 b)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* 4 b)) 1))) (+ (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (* (+ (* b (* 4 b)) 1) (* b (* 4 b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* 4 b)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* 4 b)) 1))) (+ (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (* (+ (* b (* 4 b)) 1) (* b (* 4 b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 330 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (pow (+ (* (* b 4) b) 1) 3) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (pow (+ (* (* b 4) b) 1) 3) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))))))) * * * * [misc]progress: [ 331 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (+ (* b (* 4 b)) 1) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (+ (* b (* 4 b)) 1) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 332 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) 4) 1)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) 4) 1)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))))) * * * * [misc]progress: [ 333 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 b) (* a (* a b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* 2 b) (* a (* a b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))))))) * * * * [misc]progress: [ 334 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 335 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))))) * * * * [misc]progress: [ 336 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))))))) * * * * [misc]progress: [ 337 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))))))) * * * * [misc]progress: [ 338 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (* b (* 4 b)) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (* b (* 4 b)) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 339 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 340 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 341 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (pow a 4)) (+ (* (* b (* b 2)) (* a a)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (pow a 4)) (+ (* (* b (* b 2)) (* a a)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (pow b 4)))))) * * * * [misc]progress: [ 342 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 343 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* (* b b) 2)) (pow a 4)) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (* (* 4 b) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (pow a 4)) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (* (* 4 b) b) 1)))))) * * * * [misc]progress: [ 344 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 345 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 346 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 347 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 348 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 349 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (+ (* b (* b 4)) 1)) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (+ (* b (* b 4)) 1)) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 350 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 351 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))))) * * * * [misc]progress: [ 352 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))))))) * * * * [misc]progress: [ 353 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* a (* a b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))))))) * * * * [misc]progress: [ 354 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (* b (* 4 b)) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (* b (* 4 b)) 1) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 355 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (+ (* (* b b) 4) 1) (* 16 (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 356 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 357 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (pow a 4)) (+ (* (* b (* b 2)) (* a a)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (+ (* (+ (* (* b (* b 2)) (* a a)) (pow a 4)) (+ (* (* b (* b 2)) (* a a)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (pow b 4)))))) * * * * [misc]progress: [ 358 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 359 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* (* b b) 2)) (pow a 4)) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (* (* 4 b) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (pow a 4)) (+ (* (* a a) (* (* b b) 2)) (pow a 4))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (* (* 4 b) b) 1)))))) * * * * [misc]progress: [ 360 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 361 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* b (* 4 b)) 1) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 362 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 363 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 364 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 365 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (+ (* b (* b 4)) 1)) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (+ (* b (* b 4)) 1)) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 366 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4)))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 367 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (* 2 (* a a)) (* b b)) (- (+ (pow a 4) (pow b 4)) (+ (* (* b b) -4) 1)))) (pow (+ (* (* b b) -4) 1) 4)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (* (* (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (+ (* (* 2 (* a a)) (* b b)) (- (+ (pow a 4) (pow b 4)) (+ (* (* b b) -4) 1)))) (pow (+ (* (* b b) -4) 1) 4)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 368 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (+ (* b (* -4 b)) 1) (* (- (- (* b (* -4 b)) (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (+ (+ (* b (* -4 b)) 1) (* (- (- (* b (* -4 b)) (+ (pow a 4) (pow b 4))) (* 2 (* (* a a) (* b b)))) (+ (* b (* -4 b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 369 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 370 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))))))))) * * * * [misc]progress: [ 371 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))))))) * * * * [misc]progress: [ 372 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 373 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (pow (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (pow (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) 3)))) * * * * [misc]progress: [ 374 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 375 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 376 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))))) * * * * [misc]progress: [ 377 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 378 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 379 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 380 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* (* b b) 16))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* (* b b) 16))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 381 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 382 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 383 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 16 (* b b)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 16 (* b b)) (* b b))))))) * * * * [misc]progress: [ 384 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) * * * * [misc]progress: [ 385 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (+ 1 (* b (* 4 b)))) (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (+ 1 (* b (* 4 b)))) (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))))))) * * * * [misc]progress: [ 386 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 387 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))) (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))) (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 388 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 389 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 4 (* b b))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ 1 (* 4 (* b b))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 390 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 391 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) * * * * [misc]progress: [ 392 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 393 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ 1 (* b (* 4 b))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ 1 (* b (* 4 b))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 394 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 395 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 396 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ (* 4 (* b b)) 1) 3)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ (* 4 (* b b)) 1) 3)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 397 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 398 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (pow (+ (* (* b b) 4) 1) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (pow (+ (* (* b b) 4) 1) 3)))) * * * * [misc]progress: [ 399 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 400 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 401 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 402 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 403 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 404 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 405 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))))) * * * * [misc]progress: [ 406 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 407 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))))) * * * * [misc]progress: [ 408 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 409 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) * * * * [misc]progress: [ 410 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 411 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 412 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 413 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 414 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 415 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 416 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 417 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 418 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 419 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 420 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 421 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))))) * * * * [misc]progress: [ 422 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 423 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))))) * * * * [misc]progress: [ 424 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 425 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) * * * * [misc]progress: [ 426 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 427 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 428 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 429 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 430 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 431 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 432 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 433 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* b 4) b)) (- 1 (* (* b 4) b)))) (- (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (- 1 (* (* b 4) b)))) (pow (- 1 (* (* b 4) b)) 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* b 4) b)) (- 1 (* (* b 4) b)))) (- (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (- 1 (* (* b 4) b)))) (pow (- 1 (* (* b 4) b)) 4))))) * * * * [misc]progress: [ 434 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* -4 (* b b))) (* (+ 1 (* -4 (* b b))) (- (- (* -4 (* b b)) (+ (pow a 4) (pow b 4))) (* (* a a) (* (* b b) 2))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (+ (+ 1 (* -4 (* b b))) (* (+ 1 (* -4 (* b b))) (- (- (* -4 (* b b)) (+ (pow a 4) (pow b 4))) (* (* a a) (* (* b b) 2))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 435 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 436 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (- (* (+ (* (* 2 a) (* (* b b) a)) (pow a 4)) (+ (* (* 2 a) (* (* b b) a)) (pow a 4))) (* (pow b 4) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (- (* (+ (* (* 2 a) (* (* b b) a)) (pow a 4)) (+ (* (* 2 a) (* (* b b) a)) (pow a 4))) (* (pow b 4) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 437 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 16) (* b b))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 16) (* b b))) 3)))) * * * * [misc]progress: [ 438 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (+ 1 (* b (* 4 b))) (* (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ 1 (* b (* 4 b))) (* (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))))) * * * * [misc]progress: [ 439 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 440 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 441 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (pow a 4)) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (pow a 4)) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))))))) * * * * [misc]progress: [ 442 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) * * * * [misc]progress: [ 443 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 444 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (+ (* (* 2 b) (* (* a a) b)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (+ (* (* 2 b) (* (* a a) b)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 445 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))))) * * * * [misc]progress: [ 446 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* (* b b) 16))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* (* b b) 16))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 447 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* b 4)))) (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* b 4)))) (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 448 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 449 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 450 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* 4 b) b))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* 4 b) b))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 451 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))))) * * * * [misc]progress: [ 452 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 453 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (+ (* b (* 4 b)) 1) (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* b (* 4 b)) 1) (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))))))) * * * * [misc]progress: [ 454 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 455 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* b 4) b) 1)) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* b 4) b) 1)) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 456 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 457 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 458 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 459 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))))) * * * * [misc]progress: [ 460 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (+ (* (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)))))) * * * * [misc]progress: [ 461 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 462 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 463 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 464 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)))) * * * * [misc]progress: [ 465 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (+ (* (* 2 a) (* (* a b) b)) (pow a 4)) (+ (* (* 2 a) (* (* a b) b)) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (+ (* (* 2 a) (* (* a b) b)) (pow a 4)) (+ (* (* 2 a) (* (* a b) b)) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))))) * * * * [misc]progress: [ 466 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 467 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 468 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))))) * * * * [misc]progress: [ 469 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))))) * * * * [misc]progress: [ 470 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))))) * * * * [misc]progress: [ 471 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 472 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))))) * * * * [misc]progress: [ 473 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * * * * [misc]progress: [ 474 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 475 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 476 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))))) * * * * [misc]progress: [ 477 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 478 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 479 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 480 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 481 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))))) * * * * [misc]progress: [ 482 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 483 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 484 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))))) * * * * [misc]progress: [ 485 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))))) * * * * [misc]progress: [ 486 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))))) * * * * [misc]progress: [ 487 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 488 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))))) * * * * [misc]progress: [ 489 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * * * * [misc]progress: [ 490 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 491 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 492 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))))) * * * * [misc]progress: [ 493 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 494 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 495 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 496 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 497 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))))) * * * * [misc]progress: [ 498 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 499 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (+ (pow (+ 1 (* -4 (* b b))) 4) (* (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (- (pow b 4) (+ 1 (* -4 (* b b))))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (pow (+ 1 (* -4 (* b b))) 4) (* (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (- (pow b 4) (+ 1 (* -4 (* b b))))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 500 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* -4 (* b b)) 1)) (- 1 (+ (+ (* (* b 4) b) (+ (pow a 4) (pow b 4))) (* (* 2 a) (* b (* b a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* -4 (* b b)) 1)) (- 1 (+ (+ (* (* b 4) b) (+ (pow a 4) (pow b 4))) (* (* 2 a) (* b (* b a)))))))) * * * * [misc]progress: [ 501 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 502 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a)))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (- (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* b b) a))))))))) * * * * [misc]progress: [ 503 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1))))))) * * * * [misc]progress: [ 504 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 505 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (pow (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (pow (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) 3)))) * * * * [misc]progress: [ 506 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 507 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (376 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* b (* 4 b)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 508 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))))) * * * * [misc]progress: [ 509 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 510 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (451 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b)))))) (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 511 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 512 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* (* b b) 16))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* (* b b) 16))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 513 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 514 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 515 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 16 (* b b)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 16 (* b b)) (* b b))))))) * * * * [misc]progress: [ 516 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (364 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))) (* (* (+ (* (* b 4) b) 1) (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))))))) * * * * [misc]progress: [ 517 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (+ 1 (* b (* 4 b)))) (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (+ 1 (* b (* 4 b)))) (* (- (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))))))) * * * * [misc]progress: [ 518 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (432 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (- (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 519 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (458 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))) (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))) (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (* (* a a) (* (* 2 b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 520 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (444 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 521 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 4 (* b b))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ 1 (* 4 (* b b))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 522 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 523 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* b (* b a))))) (* (pow b 4) (pow b 4))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) * * * * [misc]progress: [ 524 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 525 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ 1 (* b (* 4 b))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ 1 (* b (* 4 b))) (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))))) * * * * [misc]progress: [ 526 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2))))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 527 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 528 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ (* 4 (* b b)) 1) 3)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ (* 4 (* b b)) 1) 3)) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 529 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 530 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (pow (+ (* (* b b) 4) 1) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (pow (+ (* (* b b) 4) 1) 3)))) * * * * [misc]progress: [ 531 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 532 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 533 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 534 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 535 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 536 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 537 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))))) * * * * [misc]progress: [ 538 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 539 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))))) * * * * [misc]progress: [ 540 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 541 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) * * * * [misc]progress: [ 542 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 543 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 544 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 545 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 546 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 547 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 548 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 549 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 550 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b 4) b) 1)) (* (+ (+ (* (* b 4) b) 1) (* 16 (* (* b b) (* b b)))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 551 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* 4 b) b) 1)))) (+ (* (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 552 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (375 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 553 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* (* (* b b) 16) (* b b)) (+ (* 4 (* b b)) 1)))))) * * * * [misc]progress: [ 554 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 555 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (319 enodes) * [exit]simplify: Simplified to (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))) (- (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b))))))))) * * * * [misc]progress: [ 556 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))))))) * * * * [misc]progress: [ 557 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (366 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) * * * * [misc]progress: [ 558 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 559 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 560 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 561 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 562 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))))) * * * * [misc]progress: [ 563 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 564 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (+ (* (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* 4 (* b b)) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 565 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* b 4) b)) (- 1 (* (* b 4) b)))) (- (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (- 1 (* (* b 4) b)))) (pow (- 1 (* (* b 4) b)) 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (* (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* b 4) b)) (- 1 (* (* b 4) b)))) (- (+ (* (* a a) (* (* b b) 2)) (+ (pow a 4) (pow b 4))) (- 1 (* (* b 4) b)))) (pow (- 1 (* (* b 4) b)) 4))))) * * * * [misc]progress: [ 566 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* -4 (* b b))) (* (+ 1 (* -4 (* b b))) (- (- (* -4 (* b b)) (+ (pow a 4) (pow b 4))) (* (* a a) (* (* b b) 2))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (+ (+ 1 (* -4 (* b b))) (* (+ 1 (* -4 (* b b))) (- (- (* -4 (* b b)) (+ (pow a 4) (pow b 4))) (* (* a a) (* (* b b) 2))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 567 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 568 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (- (* (+ (* (* 2 a) (* (* b b) a)) (pow a 4)) (+ (* (* 2 a) (* (* b b) a)) (pow a 4))) (* (pow b 4) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) (- (* (+ (* (* 2 a) (* (* b b) a)) (pow a 4)) (+ (* (* 2 a) (* (* b b) a)) (pow a 4))) (* (pow b 4) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 569 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 16) (* b b))) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 16) (* b b))) 3)))) * * * * [misc]progress: [ 570 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (+ 1 (* b (* 4 b))) (* (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ 1 (* b (* 4 b))) (* (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))))))) * * * * [misc]progress: [ 571 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b b) 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 572 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))))))) * * * * [misc]progress: [ 573 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (413 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (pow a 4)) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (pow a 4)) (+ (* (* (* 2 b) b) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))))))) * * * * [misc]progress: [ 574 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ 1 (* b (* 4 b))) (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) * * * * [misc]progress: [ 575 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* b b) (* 16 (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (pow a 4))))))) * * * * [misc]progress: [ 576 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (+ (* (* 2 b) (* (* a a) b)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (+ (* (* 2 b) (* (* a a) b)) (- (pow a 4) (pow b 4))) (+ (* (* 2 b) (* (* a a) b)) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 577 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (349 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b))))))) * * * * [misc]progress: [ 578 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* (* b b) 16))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* (* b b) 16))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 579 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* b 4)))) (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* b 4)))) (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 580 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (308 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))))))) * * * * [misc]progress: [ 581 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ 1 (* b (* b 4))) (* 16 (* (* b b) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (+ 1 (* b (* b 4))))))) * * * * [misc]progress: [ 582 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* 4 b) b))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* 4 b) b))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 583 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))))) * * * * [misc]progress: [ 584 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* 4 b) b) 1))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 585 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (+ (* b (* 4 b)) 1) (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (* b (* 4 b)) 1) (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b b) (* 16 (* b b))) (+ (* b (* 4 b)) 1))))))) * * * * [misc]progress: [ 586 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1)))))) * * * * [misc]progress: [ 587 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* b 4) b) 1)) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* b 4) b) 1)) (* (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 588 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 589 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (+ (* (+ (* (* a a) (* 2 (* b b))) (pow a 4)) (+ (* (* a a) (* 2 (* b b))) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))) (+ (* b (* b 4)) 1)) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* b 4)) 1)))))) * * * * [misc]progress: [ 590 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (* b (* 4 b)) 1) (+ (* 16 (* (* b b) (* b b))) (+ (* b (* 4 b)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)))))) * * * * [misc]progress: [ 591 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (425 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 2 (* b b)) (* a a)) (pow a 4)) (+ (* (* 2 (* b b)) (* a a)) (pow a 4))))))) * * * * [misc]progress: [ 592 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (+ (* (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (pow a 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3))) (* (* (pow b 4) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)))))) * * * * [misc]progress: [ 593 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1))) (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 594 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 595 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 596 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (pow (+ (* b (* b 4)) 1) 3)))) * * * * [misc]progress: [ 597 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (+ (* (* 2 a) (* (* a b) b)) (pow a 4)) (+ (* (* 2 a) (* (* a b) b)) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (+ (* (* 2 a) (* (* a b) b)) (pow a 4)) (+ (* (* 2 a) (* (* a b) b)) (pow a 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))))) * * * * [misc]progress: [ 598 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a b) (* a b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 599 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 600 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))))) * * * * [misc]progress: [ 601 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))))) * * * * [misc]progress: [ 602 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))))) * * * * [misc]progress: [ 603 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 604 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))))) * * * * [misc]progress: [ 605 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * * * * [misc]progress: [ 606 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 607 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 608 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))))) * * * * [misc]progress: [ 609 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 610 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 611 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 612 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 613 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))))) * * * * [misc]progress: [ 614 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 615 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (372 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))))))) * * * * [misc]progress: [ 616 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (- (* (+ (* b (* (* a a) (* 2 b))) (pow a 4)) (+ (* b (* (* a a) (* 2 b))) (pow a 4))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ 1 (* b (* 4 b)))))))) * * * * [misc]progress: [ 617 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))))) * * * * [misc]progress: [ 618 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2))) (* (+ (+ 1 (* (* b 4) b)) (* 16 (* (* b b) (* b b)))) (+ 1 (* (* b 4) b)))))) * * * * [misc]progress: [ 619 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* a a)) (* b b))) (* (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))) (+ (+ 1 (* b (* b 4))) (* (* b b) (* 16 (* b b)))))))) * * * * [misc]progress: [ 620 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ 1 (* (* 4 b) b)))))) * * * * [misc]progress: [ 621 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (359 enodes) * [exit]simplify: Simplified to (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (+ (* (+ (* (* (* b b) 2) (* a a)) (pow a 4)) (+ (* (* (* b b) 2) (* a a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))))))) * * * * [misc]progress: [ 622 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * * * * [misc]progress: [ 623 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (380 enodes) * [exit]simplify: Simplified to (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (* b (* b 4)) 1) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (+ (* 2 (* (* a a) (* b b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * * * * [misc]progress: [ 624 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (* (* 2 a) (* b (* b a))) (pow a 4)) (+ (* (* 2 a) (* b (* b a))) (pow a 4))))))) * * * * [misc]progress: [ 625 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* 16 (* (* b b) (* b b))) (+ (* (* b 4) b) 1)))))) * * * * [misc]progress: [ 626 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (+ (* (* b 4) b) 1))))) * * * * [misc]progress: [ 627 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* (* b 4) b) 1))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 628 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))))))))) (* (+ (* (* (* a b) (* a b)) -2) (- (pow b 4) (pow a 4))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) * * * * [misc]progress: [ 629 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4)))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a))) (+ (* b (* b 4)) 1)) (+ (* (+ (* (* 2 b) (* (* b a) a)) (pow a 4)) (+ (* (* 2 b) (* (* b a) a)) (pow a 4))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))))))) * * * * [misc]progress: [ 630 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b))))) (+ (* (* b 4) b) 1)))) * * * * [misc]progress: [ 631 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (* (+ (pow (+ 1 (* -4 (* b b))) 4) (* (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (- (pow b 4) (+ 1 (* -4 (* b b))))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3))))) (* (+ (pow (+ 1 (* -4 (* b b))) 4) (* (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (- (pow b 4) (+ 1 (* -4 (* b b))))))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * * * * [misc]progress: [ 632 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* -4 (* b b)) 1)) (- 1 (+ (+ (* (* b 4) b) (+ (pow a 4) (pow b 4))) (* (* 2 a) (* b (* b a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (* (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) (+ (* -4 (* b b)) 1)) (- 1 (+ (+ (* (* b 4) b) (+ (pow a 4) (pow b 4))) (* (* 2 a) (* b (* b a)))))))) * * * * [misc]progress: [ 633 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (* (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (396 enodes) * [exit]simplify: Simplified to (+ (+ (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 4) (* (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))) (* (* (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (* b b) -4) 1)) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (+ (* 2 (* (* a a) (* b b))) (+ (* (* b b) -4) 1))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1))) (- (+ (* (* b b) -4) 1) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (+ (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) 3))) (+ (+ (+ (pow (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) 4) (* (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)))) (* (* (* (+ (* (* b b) -4) 1) (+ (* (* b b) -4) 1)) (+ (* (* b b) -4) 1)) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ (pow a 4) (pow b 4)) (+ (* 2 (* (* a a) (* b b))) (+ (* (* b b) -4) 1))) (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (* (* b b) -4) 1))) (- (+ (* (* b b) -4) 1) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))))) * * * * [misc]progress: [ 634 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (- (- (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ 1 (* -4 (* b b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (- (- (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4)))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (* (+ (* (* 2 (* a a)) (* b b)) (+ (pow a 4) (pow b 4))) (+ 1 (* -4 (* b b))))))) * * * * [misc]progress: [ 635 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) 3) (pow (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) 3)) (* (pow (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (- (pow 1 3) (pow (* (* b b) 4) 3)) 3))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (433 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- 1 (* (* 64 (* b b)) (* (* b b) (* b b))))) (* (- 1 (* (* 64 (* b b)) (* (* b b) (* b b)))) (- 1 (* (* 64 (* b b)) (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))) (* (pow (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) 3) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (* (- (- 1 (* (* 64 (* b b)) (* (* b b) (* b b))))) (* (- 1 (* (* 64 (* b b)) (* (* b b) (* b b)))) (- 1 (* (* 64 (* b b)) (* (* b b) (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))) (* (pow (+ (+ (* (* 4 b) b) 1) (* 16 (* (* b b) (* b b)))) 3) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (pow (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) 3))))) * * * * [misc]progress: [ 636 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) 3) (pow (+ 1 (* (* b b) 4)) 3)) (* (pow (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) 3))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (344 enodes) * [exit]simplify: Simplified to (+ (* (* (pow (+ (* (* b b) 4) 1) 3) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)))) (* (* (* (- (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (* (pow (+ (* (* b b) 4) 1) 3) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)))) (* (* (* (- (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (pow (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) 3) (pow (+ 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 637 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) 3)) (* (pow (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- (pow 1 3) (pow (* (* b b) 4) 3)) 3))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (371 enodes) * [exit]simplify: Simplified to (+ (* (- (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- 1 (pow (* 4 (* b b)) 3))) (* (- 1 (pow (* 4 (* b b)) 3)) (- 1 (pow (* 4 (* b b)) 3))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (+ (pow a 4) (pow b 4)))) (pow (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (+ (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (- (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (- 1 (pow (* 4 (* b b)) 3))) (* (- 1 (pow (* 4 (* b b)) 3)) (- 1 (pow (* 4 (* b b)) 3))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (+ (pow a 4) (pow b 4)))) (pow (+ (+ (* 4 (* b b)) 1) (* 16 (* (* b b) (* b b)))) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (+ (pow a 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (+ (pow a 4) (pow b 4))))))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (pow (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) 3))))) * * * * [misc]progress: [ 638 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) 3) (pow (+ 1 (* (* b b) 4)) 3)) (* (pow (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) 3))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (+ (* (- (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (* (* (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (* (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))) (pow (+ (* b (* b 4)) 1) 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (* (- (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (* (* (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (* (+ (* (* 2 a) (* (* a b) b)) (+ (pow a 4) (pow b 4))) (pow (+ (* b (* b 4)) 1) 3))))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (pow (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (+ 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 639 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) 3) (pow (pow (- 1 (* (* b b) 4)) 3) 3)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (+ (pow (pow (+ (* b (* (* a a) (* 2 b))) (+ (pow a 4) (pow b 4))) 3) 3) (* (- (+ (* (* b -4) b) 1)) (* (pow (+ (* (* b -4) b) 1) 4) (pow (+ (* (* b -4) b) 1) 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (pow (pow (+ (* b (* (* a a) (* 2 b))) (+ (pow a 4) (pow b 4))) 3) 3) (* (- (+ (* (* b -4) b) 1)) (* (pow (+ (* (* b -4) b) 1) 4) (pow (+ (* (* b -4) b) 1) 4)))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (+ (* (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (+ (* (pow (- 1 (* (* b b) 4)) 3) (pow (- 1 (* (* b b) 4)) 3)) (* (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))))) * * * * [misc]progress: [ 640 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3)) (* (pow (- 1 (* (* b b) 4)) 3) (pow (- 1 (* (* b b) 4)) 3))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (- (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3)) (* (pow (+ 1 (* -4 (* b b))) 3) (pow (+ 1 (* -4 (* b b))) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3) (pow (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* a a)) (* b b))) 3)) (* (pow (+ 1 (* -4 (* b b))) 3) (pow (+ 1 (* -4 (* b b))) 3))) (* (+ (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (+ (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3))))) * * * * [misc]progress: [ 641 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (exp (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (exp (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (pow (/ E (pow (exp 4) (* b b))) (+ (+ 1 (* (* b -4) b)) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (exp (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (log (* (pow (/ E (pow (exp 4) (* b b))) (+ (+ 1 (* (* b -4) b)) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))) (exp (* (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow a 4) (pow b 4)) (* 2 (* (* a a) (* b b)))))))))) * * * * [misc]progress: [ 642 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (exp (+ (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (exp (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (pow (exp (+ 1 (* (* b -4) b))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (exp (* (+ 1 (* (* b -4) b)) (+ 1 (* (* b -4) b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (log (* (exp (* (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4))))) (* (pow (exp (+ 1 (* (* b -4) b))) (+ (* 2 (* (* a a) (* b b))) (+ (pow a 4) (pow b 4)))) (exp (* (+ 1 (* (* b -4) b)) (+ 1 (* (* b -4) b))))))))) * * * * [misc]progress: [ 643 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 644 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 645 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 646 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 647 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 648 / 1239 ] simplifiying candidate # * * * * [misc]progress: [ 649 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (- 1 (* (pow (* b b) 3) 64))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (- 1 (* (pow (* b b) 3) 64))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (499 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (pow (+ (* 16 (* (* b b) (* b b))) (+ 1 (* 4 (* b b)))) 3))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (* (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (- 1 (* (pow (* b b) 3) 64))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* b b) a))) (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (pow (+ (* 16 (* (* b b) (* b b))) (+ 1 (* 4 (* b b)))) 3)))))) * * * * [misc]progress: [ 650 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (* (* b b) 4) 1) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* 64 (pow (* b b) 3)))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (* (* b b) 4) 1) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (* (* b b) 4) 1) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* 64 (pow (* b b) 3)))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (* (* b b) 4) 1) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (484 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (* (* b b) 4) 1) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* 64 (pow (* b b) 3)))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (* (+ (* (* b b) 4) 1) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))))) (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 651 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))))) (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 652 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* b 4) b) 1)) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64)))) (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (* (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* b 4) b) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* b 4) b) 1)) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64)))) (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (* (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* b 4) b) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (490 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* b 4) b) 1)) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64)))) (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (* (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))))) (* (* (* (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b))) (+ (+ (* (* b 4) b) 1) (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* b 4) b) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (* (* (* b b) 2) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* (* b 4) b)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b)))))))))) * * * * [misc]progress: [ 653 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (pow (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) 3))) (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (pow (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) 3))) (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (452 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (pow (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) 3))) (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* 16 (* (* b b) (* b b)))))))))) * * * * [misc]progress: [ 654 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* b b) 4) 1) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* 64 (pow (* b b) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (* (+ (* (* b b) 4) 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (* b b) 4) 1) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* 64 (pow (* b b) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (* (+ (* (* b b) 4) 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (* b b) 4) 1) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* 64 (pow (* b b) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (* (+ (* (* b b) 4) 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))))))) * * * * [misc]progress: [ 655 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (* -4 (* b b)) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (* -4 (* b b)) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (457 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (* -4 (* b b)) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (pow (* b b) 3) 64))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 656 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (- 1 (* (pow (* b b) 3) 64)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (- 1 (* (pow (* b b) 3) 64)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (- 1 (* (pow (* b b) 3) 64)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))))) * * * * [misc]progress: [ 657 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* 4 (* b b))))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 658 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 659 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))))) (+ (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (* (* (+ (* 4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))))) (+ (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (* (* (+ (* 4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))))) (+ (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (* (* (+ (* 4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* 4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 660 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ 1 (* (* b 4) b))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))))))) * * * * [misc]progress: [ 661 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* b b) 4) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* b b) 4) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (468 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (+ 1 (* (* b 4) b)) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* b b) 4) 1) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (+ 1 (* (* b 4) b)) (* (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* (* b 4) b))))))))) * * * * [misc]progress: [ 662 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (* b b) (* 16 (* b b)))) (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (+ (* (* b b) 4) 1))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* b b) (* 16 (* b b))))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* 16 (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* (* b b) (* 16 (* b b)))) (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (+ (* (* b b) 4) 1))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* b b) (* 16 (* b b))))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* 16 (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* (* b b) (* 16 (* b b)))) (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (+ (* (* b b) 4) 1))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* b b) (* 16 (* b b))))) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (* (* b b) 4) 1) (* (* b b) (* 16 (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b)))))))) * * * * [misc]progress: [ 663 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* -4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* -4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (478 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (* (* (+ (* b (* b 4)) 1) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* -4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 664 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- 1 (* 64 (pow (* b b) 3)))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (* (+ (* (* b 4) b) 1) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- 1 (* 64 (pow (* b b) 3)))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (* (+ (* (* b 4) b) 1) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* (* 4 b) b))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- 1 (* 64 (pow (* b b) 3)))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (* (+ (* (* b 4) b) 1) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (* (* b 4) b) 1) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* (* 4 b) b))) (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b)))))))))) * * * * [misc]progress: [ 665 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))))) (* (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* 2 a) a)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 666 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ 1 (* (* b 4) b))) (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ 1 (* (* b 4) b))) (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (492 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (* (+ 1 (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ 1 (* (* b 4) b))) (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (* (+ (* (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* b b) (* (* a a) 2)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b 4) b)) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))))) (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (* (+ 1 (* b (* 4 b))) (+ 1 (* b (* 4 b))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a))))))))))) * * * * [misc]progress: [ 667 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 668 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* 4 (* b b)))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* 4 (* b b)))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* 4 b)))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* 4 (* b b)))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (pow (* b b) 3) 64))) (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))))) (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* 4 b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (+ (+ 1 (* b (* 4 b))) (* 16 (* (* b b) (* b b)))) (+ 1 (* b (* 4 b)))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 669 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- 1 (* 64 (pow (* b b) 3)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- 1 (* 64 (pow (* b b) 3)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (472 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- 1 (* 64 (pow (* b b) 3)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))))))) * * * * [misc]progress: [ 670 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (448 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b)))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ 1 (* (* b 4) b))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ 1 (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* 2 a) (* a b)) b)) (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b)))))))) * * * * [misc]progress: [ 671 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (- 1 (* 4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (- 1 (* 4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (464 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 (* 64 (pow (* b b) 3))) (- 1 (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (- 1 (* 4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))))))))) * * * * [misc]progress: [ 672 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* 64 (pow (* b b) 3)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* b 4) b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 (* (* b 4) b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* 64 (pow (* b b) 3)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* b 4) b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 (* (* b 4) b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (404 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* 64 (pow (* b b) 3)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* b 4) b))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (+ 1 (* (* b 4) b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (* (* (+ 1 (* 4 (* b b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b))))))) (+ (* (+ (pow a 4) (* (* a a) (* 2 (* b b)))) (+ (pow a 4) (* (* a a) (* 2 (* b b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* 2 (* b b)))))))))) * * * * [misc]progress: [ 673 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (- 1 (* 64 (pow (* b b) 3))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (- 1 (* 64 (pow (* b b) 3))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (477 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (- 1 (* 64 (pow (* b b) 3))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) (* (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* 2 a) (* (* b b) a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* (* b b) a)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 674 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (* b (* b 4)) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (* b (* b 4)) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (350 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (pow (+ 1 (* (* b 4) b)) 3))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (* b (* b 4)) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a)))))) (* (- (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (pow (+ 1 (* (* b 4) b)) 3)))))) * * * * [misc]progress: [ 675 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))) (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- 1 (pow (* (* b b) 4) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))) (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- 1 (pow (* (* b b) 4) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (483 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* (* b (* 4 b)) (+ (* b (* 4 b)) 1)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))) (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- 1 (pow (* (* b b) 4) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (* (+ (* b (* 4 b)) 1) (+ (* b (* 4 b)) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* (* b (* 4 b)) (+ (* b (* 4 b)) 1))))))))) * * * * [misc]progress: [ 676 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* b 4) b) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* b 4) b) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* b 4) b) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4))))))) (* (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 677 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- 1 (* 64 (pow (* b b) 3)))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- 1 (* 64 (pow (* b b) 3)))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* (* 4 b) b)) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b)))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- 1 (* 64 (pow (* b b) 3)))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4)))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ 1 (* (* 4 b) b)) (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b)))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* (* b a) a)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 678 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* b (* b 4)) 1) (- 1 (* (* b b) (* 16 (* b b))))) (- 1 (* (* b b) (* 16 (* b b))))) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (pow (+ (* b (* b 4)) 1) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* b (* b 4)) 1) (- 1 (* (* b b) (* 16 (* b b))))) (- 1 (* (* b b) (* 16 (* b b))))) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (pow (+ (* b (* b 4)) 1) 3))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* b b) 4)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* b (* b 4)) 1) (- 1 (* (* b b) (* 16 (* b b))))) (- 1 (* (* b b) (* 16 (* b b))))) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* (* a a) 2)) (+ (pow a 4) (pow b 4))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))) (pow (+ (* b (* b 4)) 1) 3))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (* b b) 4)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 679 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- 1 (* b (* b 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- 1 (* b (* b 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- 1 (* b (* b 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 680 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ 1 (* (* b b) -4))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ 1 (* (* b b) -4))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ 1 (* (* b b) -4))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))))) * * * * [misc]progress: [ 681 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (pow (* b b) 3) 64))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 682 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))) (* (+ (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))) (* (+ (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* 4 (* b b)) 1) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))))) (* (+ (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (+ (* 4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))))))) * * * * [misc]progress: [ 683 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)))) (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))))))) * * * * [misc]progress: [ 684 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* -4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* -4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* -4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 685 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (* (- 1 (* 64 (pow (* b b) 3))) (+ 1 (* -4 (* b b)))) (* (- 1 (* 64 (pow (* b b) 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (* (- 1 (* 64 (pow (* b b) 3))) (+ 1 (* -4 (* b b)))) (* (- 1 (* 64 (pow (* b b) 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (* (- 1 (* 64 (pow (* b b) 3))) (+ 1 (* -4 (* b b)))) (* (- 1 (* 64 (pow (* b b) 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 686 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* -4 (* b b)) 1) (+ (* (* b b) 4) 1))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* -4 (* b b)) 1) (+ (* (* b b) 4) 1))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* -4 (* b b)) 1) (+ (* (* b b) 4) 1))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 687 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* -4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* -4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* -4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))))))) * * * * [misc]progress: [ 688 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* -4 (* b b))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* -4 (* b b))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* -4 (* b b))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))))) * * * * [misc]progress: [ 689 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (+ 1 (* 4 (* b b)))))) (* (+ (* (* (+ 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (+ 1 (* 4 (* b b)))))) (* (+ (* (* (+ 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (+ 1 (* 4 (* b b)))))) (* (+ (* (* (+ 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 690 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ 1 (* -4 (* b b))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (* (* (+ (* (* b b) 4) 1) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ 1 (* -4 (* b b))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (* (* (+ (* (* b b) 4) 1) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (+ 1 (* -4 (* b b))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (* (* (+ (* (* b b) 4) 1) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))))) * * * * [misc]progress: [ 691 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* -4 (* b b))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ 1 (* (* b b) 4)) (- 1 (* 64 (pow (* b b) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ 1 (* (* b b) 4)) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* -4 (* b b))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ 1 (* (* b b) 4)) (- 1 (* 64 (pow (* b b) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ 1 (* (* b b) 4)) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* -4 (* b b))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ 1 (* (* b b) 4)) (- 1 (* 64 (pow (* b b) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ 1 (* (* b b) 4)) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 692 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (+ (* b (* b 4)) 1))) (* (* (- 1 (* b (* b 4))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (+ (* b (* b 4)) 1))) (* (* (- 1 (* b (* b 4))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* a a) 2))) (+ (* (* b b) (* (* a a) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (+ (* b (* b 4)) 1))) (* (* (- 1 (* b (* b 4))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2))))))) (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* a a) 2))) 3))))) (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 693 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (* (+ 1 (* b (* b 4))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (- 1 (* b (* b 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (* (+ 1 (* b (* b 4))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (- 1 (* b (* b 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (* (+ 1 (* b (* b 4))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (- 1 (* b (* b 4))))))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 694 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* b b) 4) 1) (+ (* (- 1 (* (* 16 (* b b)) (* b b))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* b b) 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* b b) 4) 1) (+ (* (- 1 (* (* 16 (* b b)) (* b b))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* b b) 4) 1) (+ (* (- 1 (* (* 16 (* b b)) (* b b))) (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* b b) 4))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 695 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ 1 (* -4 (* b b))) (+ (* (* b b) 4) 1))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* -4 (* b b))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (* b b) 4) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ 1 (* -4 (* b b))) (+ (* (* b b) 4) 1))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* -4 (* b b))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (* b b) 4) 1)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ 1 (* -4 (* b b))) (+ (* (* b b) 4) 1))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (+ 1 (* -4 (* b b))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (* b b) 4) 1)))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 696 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (* b b) 4)) (- 1 (* (* 16 (* b b)) (* b b)))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (* b b) 4)) (- 1 (* (* 16 (* b b)) (* b b)))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) 4) 1) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) 4)) (+ (* (* b b) 4) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (* b b) 4)) (- 1 (* (* 16 (* b b)) (* b b)))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 697 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))))))))) * * * * [misc]progress: [ 698 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))) (* (+ (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (+ (* (* b b) 4) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))) (* (+ (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (+ (* (* b b) 4) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (420 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* b b) 4) 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1))))) (* (+ (* (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (+ (* (* b b) 4) 1)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) (* (* (+ (* (* b (* 4 b)) (* b (* 4 b))) (+ 1 (* b (* 4 b)))) (+ 1 (* b (* 4 b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 a) (* b (* b a))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))))))) * * * * [misc]progress: [ 699 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (411 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* -4 (* b b)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (- 1 (* (pow (* b b) 3) 64)) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (+ (* (* 16 (* b b)) (* b b)) (+ (* (* b 4) b) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)))) (* (* (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) (* a b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) (* a b)) b))) (* (pow b 4) (pow b 4)))) (* (* (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b)))) (+ (+ 1 (* (* 4 b) b)) (* 16 (* (* b b) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) (* a b)) b))))))) * * * * [misc]progress: [ 700 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (* (+ (* -4 (* b b)) 1) (+ (* 4 (* b b)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (* (+ (* -4 (* b b)) 1) (+ (* 4 (* b b)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (426 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (+ (* (- 1 (* (pow (* b b) 3) 64)) (* (* (+ (* -4 (* b b)) 1) (+ (* 4 (* b b)) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* b b) (* 16 (* b b))) (+ (* 4 (* b b)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))) (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ 1 (* b (* 4 b))))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 701 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (* (+ 1 (* -4 (* b b))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (pow (* b b) 3) 64))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (* (+ 1 (* -4 (* b b))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4)))) (* (+ (+ (* (* b 4) b) 1) (* (* (* b 4) b) (* (* b 4) b))) (+ (* (+ 1 (* -4 (* b b))) (- 1 (* (pow (* b b) 3) 64))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (pow (* b b) 3) 64))))))) (* (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* 16 (* (* b b) (* b b))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 702 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (* (+ (* (* b b) 4) 1) (+ (* -4 (* b b)) 1)) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (* (+ (* (* b b) 4) 1) (+ (* -4 (* b b)) 1)) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* (* b b) 4) 1) (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))))) (+ (* (* (+ (* (* b b) 4) 1) (+ (* -4 (* b b)) 1)) (- 1 (* (pow (* b b) 3) 64))) (* (+ (+ (* (* b b) 4) 1) (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 703 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (* (+ (* -4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* -4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (* (+ (* -4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* -4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (397 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (* (* (+ (* -4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* -4 (* b b)) 1) (+ (+ (* 4 (* b b)) 1) (* (* b b) (* 16 (* b b))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (- (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))) (* (pow b 4) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))))))) * * * * [misc]progress: [ 704 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* -4 (* b b))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* -4 (* b b))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* -4 (* b b))) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* (pow (* b b) 3) 64)) (+ 1 (* -4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (* 4 (* b b)) 1) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b))))) (+ (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))))))))) * * * * [misc]progress: [ 705 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (+ 1 (* 4 (* b b)))))) (* (+ (* (* (+ 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* 4 (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (+ 1 (* 4 (* b b)))))) (* (+ (* (* (+ 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* 4 (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (* (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))) (+ 1 (* 4 (* b b)))))) (* (+ (* (* (+ 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (* (- 1 (* 4 (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a)))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 706 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (* (* (+ (* (* b b) 4) 1) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (* (* (+ (* (* b b) 4) 1) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (* (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (* (* (+ (* (* b b) 4) 1) (- 1 (* (* (* b b) 4) (* (* b b) 4)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))))) (* (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b)))) (* (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a))))) (- (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (pow a 4) (* (* b (* b 2)) (* a a)))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* b (* b 2)) (* a a)))))))))) * * * * [misc]progress: [ 707 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ 1 (* (* b b) 4)) (- 1 (* 64 (pow (* b b) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ 1 (* (* b b) 4)) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ 1 (* (* b b) 4)) (- 1 (* 64 (pow (* b b) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ 1 (* (* b b) 4)) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (423 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ 1 (* (* b b) 4)) (- 1 (* 64 (pow (* b b) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (+ 1 (* (* b b) 4)) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))))))) (* (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (* (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (* (* 2 a) (* (* a b) b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 708 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* b (* b 4)) 1) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (* (- 1 (* b (* b 4))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* b (* b 4)) 1) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (* (- 1 (* b (* b 4))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (303 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* b (* b 4)) 1) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (* (- 1 (* b (* b 4))) (+ (* b (* b 4)) 1)) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3))))) (* (* (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))))))) * * * * [misc]progress: [ 709 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (* (+ 1 (* b (* b 4))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (- 1 (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (* (+ 1 (* b (* b 4))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (- 1 (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (381 enodes) * [exit]simplify: Simplified to (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (* (+ 1 (* b (* b 4))) (- 1 (* (pow (* b b) 3) 64))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (- 1 (* b (* b 4)))) (- 1 (* (* b (* b 4)) (* b (* b 4)))))))) (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (+ 1 (* 4 (* b b)))) (* (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 710 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))) (* (+ 1 (* (* b b) 4)) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* b 4) b) 1) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* b 4) b) 1) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* b 4) b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (+ (* (* b 4) b) 1) (+ (* (* b 4) b) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (* (* b 4) b) 1) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* b 4) b))))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 711 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b b) -4) 1) (+ (* (* b 4) b) 1))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) -4) 1))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b b) -4) 1) (+ (* (* b 4) b) 1))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) -4) 1))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (* b 4) b) 1)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (* (* b b) -4) 1) (+ (* (* b 4) b) 1))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (* (- 1 (* (* b b) (* 16 (* b b)))) (+ (* (* b b) -4) 1))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a))))) (+ (* (* b 4) b) 1)))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))))) * * * * [misc]progress: [ 712 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ 1 (* (* b b) 4)) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) -4) 1) (+ (* b (* b 4)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (+ (* (* b b) -4) 1))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) -4) 1) (+ (* b (* b 4)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (+ (* (* b b) -4) 1))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (+ 1 (* (* b b) 4)) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (* b (* b 4)) 1) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) -4) 1) (+ (* b (* b 4)) 1))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (+ (* (* b b) -4) 1))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ 1 (* 4 (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 713 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (pow (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) 3) (pow (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) 3)))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (+ (* (* (pow (+ 1 (* -4 (* b b))) 3) (+ (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ 1 (* -4 (* b b))) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (- (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* -4 (* b b))))) (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (pow (+ 1 (* -4 (* b b))) 3) (+ (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ 1 (* -4 (* b b))) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (- (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* -4 (* b b))))) (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (+ (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (- (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))) (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (449 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (+ (- (+ 1 (* (* b b) -4))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (pow (+ 1 (* (* b b) -4)) 4)) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (pow (+ 1 (* -4 (* b b))) 3) (+ (pow (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) 3) (pow (+ 1 (* -4 (* b b))) 3))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b))))) (- (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* -4 (* b b))))) (* (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))) (* (+ 1 (* -4 (* b b))) (+ 1 (* -4 (* b b)))))))) (* (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))) (* (+ 1 (* (* b b) -4)) (+ 1 (* (* b b) -4)))) (+ (- (+ 1 (* (* b b) -4))) (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2))))) (pow (+ 1 (* (* b b) -4)) 4)) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 714 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4)))) (* (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (* -4 (* b b)) 1) (* (+ (* -4 (* b b)) 1) (- (- (* -4 (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (+ (* -4 (* b b)) 1) (* (+ (* -4 (* b b)) 1) (- (- (* -4 (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (* (+ (* -4 (* b b)) 1) (+ (+ (+ (* -4 (* b b)) 1) (pow a 4)) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (+ (* -4 (* b b)) 1) (* (+ (* -4 (* b b)) 1) (- (- (* -4 (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (+ (* -4 (* b b)) 1) (* (+ (* -4 (* b b)) 1) (- (- (* -4 (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (* (+ (* -4 (* b b)) 1) (+ (+ (+ (* -4 (* b b)) 1) (pow a 4)) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (- (* (- 1 (* (* b b) 4)) (- 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (+ (+ (* b (* b -4)) 1) (* (- (- (* b (* b -4)) (+ (pow a 4) (pow b 4))) (* (* 2 b) (* (* b a) a))) (+ (* b (* b -4)) 1))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (+ (* -4 (* b b)) 1) (* (+ (* -4 (* b b)) 1) (- (- (* -4 (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (+ (+ (* -4 (* b b)) 1) (* (+ (* -4 (* b b)) 1) (- (- (* -4 (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* 2 a) a) (* b b))))) (* (+ (* -4 (* b b)) 1) (+ (+ (+ (* -4 (* b b)) 1) (pow a 4)) (+ (* (* (* 2 a) a) (* b b)) (pow b 4))))))) (* (+ (+ (* b (* b -4)) 1) (* (- (- (* b (* b -4)) (+ (pow a 4) (pow b 4))) (* (* 2 b) (* (* b a) a))) (+ (* b (* b -4)) 1))) (* (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 715 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (pow (* (* b b) 4) 3)) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (pow (* (* b b) 4) 3)) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (pow (* (* b b) 4) 3)) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))))) (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))))))))) * * * * [misc]progress: [ 716 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ 1 (* (* b b) 4)) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ 1 (* (* b b) 4))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ 1 (* (* b b) 4)) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (470 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ 1 (* (* b b) 4)) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b b) 4)))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (+ 1 (* (* b b) 4))))) (* (* (* (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a (* 2 a)) (* b b)))) (* (+ (* (* 4 b) b) 1) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4)))))) (- (* (+ (pow a 4) (* (* a (* 2 a)) (* b b))) (+ (pow a 4) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (+ (* (* a (* 2 a)) (* b b)) (- (pow a 4) (pow b 4))))))))) * * * * [misc]progress: [ 717 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- 1 (pow (* (* b b) 4) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- 1 (pow (* (* b b) 4) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (pow (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) 3))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- 1 (pow (* (* b b) 4) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4)))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))))) (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (pow (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) 3)))))) * * * * [misc]progress: [ 718 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))) (* (+ 1 (* (* b b) 4)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* (* b b) 4)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))) (* (+ 1 (* (* b b) 4)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* (* b b) 4)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (+ (* (* 4 b) b) 1) (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))) (* (+ 1 (* (* b b) 4)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* (* b b) 4)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (+ (* (* 4 b) b) 1) (* (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (+ (* (* 4 b) b) 1) (* (* 16 (* b b)) (* b b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))))))))) * * * * [misc]progress: [ 719 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (pow (* (* b b) 4) 3))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (pow (* (* b b) 4) 3))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (440 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (pow (* (* b b) 4) 3))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (pow (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 720 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (pow (* (* b 4) b) 3)) (- 1 (pow (* (* b 4) b) 3))) (+ 1 (* (* b 4) b))) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (pow (* (* b 4) b) 3)) (- 1 (pow (* (* b 4) b) 3))) (+ 1 (* (* b 4) b))) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 4 b) b) 1)) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (pow a 4) (* (* 2 a) (* b (* b a))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (pow (* (* b 4) b) 3)) (- 1 (pow (* (* b 4) b) 3))) (+ 1 (* (* b 4) b))) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a)))) (+ (* (* 4 b) b) 1)) (* (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))) (+ (+ (* (* 4 b) b) 1) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* b (* b a))))) (* (+ (pow a 4) (* (* 2 a) (* b (* b a)))) (+ (pow a 4) (* (* 2 a) (* b (* b a)))))))))) * * * * [misc]progress: [ 721 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* -4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* -4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (443 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b)))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (* (- 1 (pow (* (* b b) 4) 3)) (- 1 (pow (* (* b b) 4) 3)))) (* (* (* (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* -4 (* b b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))))) (* (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))))) * * * * [misc]progress: [ 722 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (pow (* b (* b 4)) 3))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (pow (* b (* b 4)) 3))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (374 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (pow (* b (* b 4)) 3))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (* (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (* (* b (* b 4)) (* b (* b 4))) (+ 1 (* b (* b 4))))) (+ 1 (* -4 (* b b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* b (* 4 b)) 1) (* (* b (* 4 b)) (* b (* 4 b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))))) * * * * [misc]progress: [ 723 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (pow (* b (* b 4)) 3)) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (pow (* b (* b 4)) 3)) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (498 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (pow (* b (* b 4)) 3)) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))))) (* (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (- (* (+ (pow a 4) (* (* 2 b) (* b (* a a)))) (+ (pow a 4) (* (* 2 b) (* b (* a a))))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1))))))) * * * * [misc]progress: [ 724 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (493 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (* b (* b 4)) (* b (* b 4)))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ 1 (* b (* b 4)))))) (* (* (* (* (+ (* (* (* b b) 16) (* b b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* (* b a) a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow a 4) (* (* 2 b) (* (* b a) a))) (+ (* (* 2 b) (* (* b a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 725 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- 1 (pow (* b (* b 4)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- 1 (pow (* b (* b 4)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (489 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (* 4 b) b) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- 1 (pow (* b (* b 4)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* 2 b) b) (* a a))) (+ (* (* (* 2 b) b) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (* 4 b) b) 1)))))) * * * * [misc]progress: [ 726 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* b (* b 4))))) (* (* (* (+ 1 (* b (* b 4))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* b (* b 4))))) (* (* (* (+ 1 (* b (* b 4))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (485 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (pow (* b (* b 4)) 3)) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* b (* b 4))))) (* (* (* (+ 1 (* b (* b 4))) (- 1 (* (* b (* b 4)) (* b (* b 4))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* (* 4 b) b) 1)) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)))) (+ (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (- (pow a 4) (pow b 4)) (* (* 2 a) (* (* a b) b)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 727 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (pow (* (* b 4) b) 3)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (pow (* (* b 4) b) 3)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (456 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (* (- 1 (pow (* (* b 4) b) 3)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))) (* (+ (* (* b 4) b) 1) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (+ (* (+ (pow a 4) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 728 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* 4 (* b b)) (* 4 (* b b)))))) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (* (- 1 (pow (* 4 (* b b)) 3)) (+ 1 (* 4 (* b b))))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* 4 (* b b)) (* 4 (* b b)))))) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (* (- 1 (pow (* 4 (* b b)) 3)) (+ 1 (* 4 (* b b))))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (459 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- 1 (* (* 4 (* b b)) (* 4 (* b b)))))) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (* (- 1 (pow (* 4 (* b b)) 3)) (+ 1 (* 4 (* b b))))))) (* (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (* (+ (* (* 4 b) b) 1) (+ (* (* 4 b) b) 1)) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b)))))))) * * * * [misc]progress: [ 729 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* (+ 1 (* (* b b) 4)) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* -4 (* b b)) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (pow (* (* b b) 4) 3))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b b) 4)) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* (+ 1 (* (* b b) 4)) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* -4 (* b b)) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (pow (* (* b b) 4) 3))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b b) 4)) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (467 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* (+ 1 (* (* b b) 4)) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* -4 (* b b)) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (pow (* (* b b) 4) 3))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* (* b b) 4)) (+ (+ 1 (* (* b b) 4)) (* (* (* b b) 4) (* (* b b) 4))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (+ (* (* 4 b) b) 1))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b))))))))) * * * * [misc]progress: [ 730 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (pow 1 3) (pow (* (* b b) 4) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* -4 (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (- 1 (pow (* 4 (* b b)) 3)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* -4 (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (- 1 (pow (* 4 (* b b)) 3)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (+ (pow a 4) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* -4 (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (+ 1 (* 4 (* b b))) (* (* 16 (* b b)) (* b b)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (- 1 (pow (* 4 (* b b)) 3)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))))) (* (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ (* (* b b) 4) 1)) (+ (* (* b b) 4) 1)) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* 2 b) (* a (* a b)))) (+ (pow a 4) (* (* 2 b) (* a (* a b))))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 731 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (481 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* b (* b 4)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))))) (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b))))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1))))) (* (* (* (* (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))) (+ 1 (* b (* b 4)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b)))))) (* (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))) (* (+ (pow a 4) (* (* 2 a) (* (* a b) b))) (+ (pow a 4) (* (* 2 a) (* (* a b) b))))) (- (- (pow b 4) (pow a 4)) (* (* 2 a) (* (* a b) b)))))))) * * * * [misc]progress: [ 732 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* b 4) b) 1) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* b 4) b) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* b 4) b) 1) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* b 4) b) 1)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (462 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4))))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* b 4) b) 1) (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (* (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)) (- 1 (* (* (* b 4) b) (* (* b 4) b)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (* (* b 4) b) 1)))) (* (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* b 4) b) 1)))) (* (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))) (+ 1 (* b (* b 4))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (* b (* (* a a) (* 2 b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ 1 (* b (* b 4))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))))))) * * * * [misc]progress: [ 733 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (- 1 (* (pow (* b b) 3) 64)) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (- 1 (* (pow (* b b) 3) 64)) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (473 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (- 1 (* (pow (* b b) 3) 64)) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)))))) (* (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ 1 (* b (* 4 b)))) (* (* (+ (+ 1 (* b (* 4 b))) (* (* b (* 4 b)) (* b (* 4 b)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))))) * * * * [misc]progress: [ 734 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))) (* (+ (* 4 (* b b)) 1) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))) (* (+ (* 4 (* b b)) 1) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (453 enodes) * [exit]simplify: Simplified to (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* (pow (* b b) 3) 64)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))) (* (+ (* 4 (* b b)) 1) (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* 4 (* b b)) 1))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b)))) (- (- (pow b 4) (pow a 4)) (* b (* (* 2 a) (* a b))))) (* (* (+ 1 (* b (* b 4))) (+ 1 (* b (* b 4)))) (+ (+ 1 (* b (* b 4))) (* (* b (* b 4)) (* b (* b 4)))))) (+ (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 735 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (- 1 (pow (* 4 (* b b)) 3)))) (* (- 1 (pow (* 4 (* b b)) 3)) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (- 1 (pow (* 4 (* b b)) 3)))) (* (- 1 (pow (* 4 (* b b)) 3)) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (461 enodes) * [exit]simplify: Simplified to (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (- 1 (pow (* 4 (* b b)) 3)))) (* (- 1 (pow (* 4 (* b b)) 3)) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (* (+ (* (* 2 (* b b)) (* a a)) (+ (pow a 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)))) (* (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (pow a 4) (* (* (* a a) (* 2 b)) b)) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))))) * * * * [misc]progress: [ 736 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* 16 (* b b)) (* b b))))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* 4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64)))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* 16 (* b b)) (* b b))))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* 4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64)))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (428 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (* 16 (* b b)) (* b b))))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* 4 (* b b)) 1) (- 1 (* (pow (* b b) 3) 64)))))) (* (* (* (+ (* (* 16 (* b b)) (* b b)) (+ (* 4 (* b b)) 1)) (* (+ (* 4 (* b b)) 1) (+ (* 4 (* b b)) 1))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (pow a 4) (* (* a a) (* (* 2 b) b))))))))) * * * * [misc]progress: [ 737 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (+ (* -4 (* b b)) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (pow (* 4 (* b b)) 3))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (+ (* -4 (* b b)) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (pow (* 4 (* b b)) 3))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (442 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1)) (+ (* -4 (* b b)) 1)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3))) (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (pow (* 4 (* b b)) 3))) (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4)))))) (* (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* b b)) (* a a)))) (* (pow b 4) (pow b 4))) (* (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ (* 4 (* b b)) 1)) (+ (* 4 (* b b)) 1))))) (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (pow b 4))) (+ 1 (* (* b 4) b))))))) * * * * [misc]progress: [ 738 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* b (* b 4)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (+ 1 (* -4 (* b b))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (pow (* b b) 3) 64))) (- 1 (* (* 16 (* b b)) (* b b))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* b (* b 4)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (+ 1 (* -4 (* b b))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (pow (* b b) 3) 64))) (- 1 (* (* 16 (* b b)) (* b b))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (365 enodes) * [exit]simplify: Simplified to (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* b (* b 4)) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (+ 1 (* -4 (* b b))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* 16 (* b b)) (* b b)) (+ (* b (* b 4)) 1)) (+ (* b (* b 4)) 1)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- 1 (* (pow (* b b) 3) 64))) (- 1 (* (* 16 (* b b)) (* b b))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ 1 (* (* b 4) b)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (+ (* (+ (* (* (* a a) (* 2 b)) b) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 739 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (463 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (+ 1 (* (* 4 b) b)) (* (* b b) (* 16 (* b b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (- 1 (* 64 (* (pow b 3) (pow b 3)))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4))))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))))) (* (* (+ (* (* (* b b) 4) (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))))))) (* (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))))) (* (+ (* (+ (pow a 4) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (+ 1 (* (* 4 b) b)) (* (* b b) (* 16 (* b b))))))))) * * * * [misc]progress: [ 740 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* (* b b) (* 16 (* b b)))) (- 1 (* (* b b) (* 16 (* b b))))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- 1 (* (* b b) (* 16 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (* b b) 4) 1)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (- 1 (* (* b b) (* 16 (* b b)))) (- 1 (* (* b b) (* 16 (* b b))))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- 1 (* (* b b) (* 16 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (* b b) 4) 1)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (325 enodes) * [exit]simplify: Simplified to (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* (* b 4) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (- 1 (* (* b b) (* 16 (* b b)))) (- 1 (* (* b b) (* 16 (* b b))))) (+ (* (* b b) 4) 1)) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))))) (* (* (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)) (- 1 (* (* b b) (* 16 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))) (+ (* (* b b) 4) 1)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))))) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (pow a 4) (* (* a a) (* (* b b) 2)))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ 1 (* (* b 4) b))))))) * * * * [misc]progress: [ 741 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (+ 1 (* (* b 4) b)) (* (* b b) (* 16 (* b b))))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (- 1 (* (* (* b 4) b) (* (* b 4) b))) (- 1 (* (* (* b 4) b) (* (* b 4) b)))))) (* (+ (* (+ (pow a 4) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* b b) (* (* 2 a) a))) 3)) (* (* (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))))))) (* (+ (* (+ (pow a 4) (* (* a a) (* (* 2 b) b))) (+ (- (pow a 4) (pow b 4)) (* (* a a) (* (* 2 b) b)))) (* (pow b 4) (pow b 4))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (+ 1 (* (* b 4) b)) (* (* b b) (* 16 (* b b))))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))))) * * * * [misc]progress: [ 742 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* b (* b 4)) 1))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* b (* b 4)) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* b (* b 4)) 1))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* b (* b 4)) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (316 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* (* b 4) b))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (* (- 1 (* (* 16 (* b b)) (* b b))) (- 1 (* (* 16 (* b b)) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* b (* b 4)) 1))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1))))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) 2) (* b b))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (* (* (* (+ (* b (* b 4)) 1) (+ (* b (* b 4)) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* b (* b 4)) 1))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ 1 (* (* b 4) b))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))))) * * * * [misc]progress: [ 743 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) (* (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) (* (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (* (* 2 b) (* a (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 1 (* (pow (* b b) 3) 64)) (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))))))) (* (* (* (* (+ 1 (* 4 (* b b))) (+ 1 (* 4 (* b b)))) (+ (* (* 4 (* b b)) (* 4 (* b b))) (+ 1 (* 4 (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)))) (* (* (* (+ 1 (* (* 4 b) b)) (+ 1 (* (* 4 b) b))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (+ (+ 1 (* (* 4 b) b)) (* (* (* 4 b) b) (* (* 4 b) b))))) (+ (* (+ (pow a 4) (* (* 2 b) (* a (* a b)))) (+ (* (* 2 b) (* a (* a b))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 744 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ 1 (* (* b b) 4))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (+ (* (* b b) 4) 1) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (pow (+ (* (* b b) 4) 1) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (+ (* (* b b) 4) 1) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (pow (+ (* (* b b) 4) 1) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ 1 (* (* b b) 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ 1 (* 4 (* b b))) 3))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (* (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (+ (* (* b b) 4) 1) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (pow b 4) (pow b 4)) (* (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (+ (pow a 4) (pow b 4)))) (pow (+ (* (* b b) 4) 1) 3)) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* 2 a) a) (* b b))) 3)))) (* (+ (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (pow (+ 1 (* 4 (* b b))) 3)))))) * * * * [misc]progress: [ 745 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (+ 1 (* -4 (* b b))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (+ 1 (* -4 (* b b))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3))) (* (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) 2) (* b b))) 3)) (* (+ 1 (* -4 (* b b))) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4))))) (* (- 1 (* (* (* b b) 4) (* (* b b) 4))) (- 1 (* (* (* b b) 4) (* (* b b) 4)))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (- (pow a 4) (pow b 4)))))))) (* (* (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4))) (+ (* (+ (* (* a a) (* b (* b 2))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* a a) (* b (* b 2))))) (* (pow b 4) (pow b 4)))) (* (* (+ 1 (* (* b 4) b)) (+ 1 (* (* b 4) b))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))))))) * * * * [misc]progress: [ 746 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) -4) 1) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (- 1 (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) -4) 1) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (- 1 (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (* (+ 1 (* (* b b) 4)) (+ 1 (* (* b b) 4))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* b b) -4) 1) (* (+ (* (* b b) 4) 1) (+ (* (* b b) 4) 1)))) (* (- 1 (* (* 16 (* b b)) (* b b))) (* (- 1 (* (* 16 (* b b)) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* (* a a) (* b b)) 2))) (* (pow b 4) (pow b 4))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (- (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b)))) (* (pow b 4) (pow b 4))) (* (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4)))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ 1 (* b (* b 4))))))))) * * * * [misc]progress: [ 747 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (* (- 1 (pow (* (* b 4) b) 3)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (* (- 1 (* (* b 4) b)) (- 1 (pow (* (* b 4) b) 3))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (* (- 1 (pow (* (* b 4) b) 3)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (* (- 1 (* (* b 4) b)) (- 1 (pow (* (* b 4) b) 3))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* a a) (* (* b b) 2))) 3)) (* (- 1 (pow (* (* b 4) b) 3)) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b))))) (* (* (* (- 1 (* (* b 4) b)) (- 1 (pow (* (* b 4) b) 3))) (+ (+ 1 (* (* b 4) b)) (* (* (* b 4) b) (* (* b 4) b)))) (+ (* (+ (pow a 4) (* (* a a) (* (* b b) 2))) (+ (* (* a a) (* (* b b) 2)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))))))) (* (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow a 4) (* b (* (* 2 a) (* a b)))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))))) (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4))))))))) * * * * [misc]progress: [ 748 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (- 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ 1 (* 4 (* b b))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (- 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ 1 (* 4 (* b b))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (409 enodes) * [exit]simplify: Simplified to (* (* (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (* (* b 4) b) 1) (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))) (- 1 (* (* 4 (* b b)) (* 4 (* b b))))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (* (- 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (+ 1 (* 4 (* b b)))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))))) (* (* (+ 1 (* 4 (* b b))) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* b 4) b) (* (* b 4) b)) (+ (* (* b 4) b) 1)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) (* (+ (* (* b 4) b) 1) (- (* (+ (pow a 4) (* (* (* b b) (* 2 a)) a)) (+ (pow a 4) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))))))))) * * * * [misc]progress: [ 749 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (* (- 1 (* (* b 4) b)) (- 1 (pow (* (* b 4) b) 3))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (* (- 1 (* (* b 4) b)) (- 1 (pow (* (* b 4) b) 3))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (388 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) (+ (* (* (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b))) (- 1 (pow (* (* b 4) b) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* 16 (* b b)) (* b b)) (+ 1 (* (* b 4) b)))) (* (- 1 (* (* b 4) b)) (- 1 (pow (* (* b 4) b) 3))))))) (* (+ (* (+ (* b (* (* 2 a) (* a b))) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* b (* (* 2 a) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) (* (+ (+ (* b (* b 4)) 1) (* (* b (* b 4)) (* b (* b 4)))) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))))))) * * * * [misc]progress: [ 750 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (- (* 1 1) (* (* (* b b) 4) (* (* b b) 4)))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* 4 (* b b)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4)))))))) * [enter]simplify: Simplifying (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (+ 1 (* (* b b) 4))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (* (* 4 b) b) 1) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (- (pow (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) 3) (pow (- 1 (* (* b b) 4)) 3)) (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* (* a a) (* b b)) 2)) 3)) (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (* 4 (* b b))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))))) (* (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (- (pow a 4) (pow b 4))))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 1 (* (* 4 (* b b)) (* 4 (* b b)))) (+ (+ 1 (* 4 (* b b))) (* (* 4 (* b b)) (* 4 (* b b)))))) (* (* (- 1 (* 4 (* b b))) (- 1 (pow (* 4 (* b b)) 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ 1 (* 4 (* b b)))))))) (* (* (* (+ (* (* (* 4 b) b) (* (* 4 b) b)) (+ (* (* 4 b) b) 1)) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b))))) (* (+ (* (* 4 b) b) 1) (- (- (pow b 4) (pow a 4)) (* b (* (* a a) (* 2 b)))))) (+ (* (+ (- (pow a 4) (pow b 4)) (* b (* (* a a) (* 2 b)))) (+ (pow a 4) (* b (* (* a a) (* 2 b))))) (* (pow b 4) (pow b 4))))))) * * * * [misc]progress: [ 751 / 1239 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (pow (pow b 4) 3) (pow (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 3)) (- (* (pow b 4) (pow b 4)) (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))))) (* (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (* (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))) (- (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))) (+ (* (* (- 1 (* (* b b) 4)) (- (pow 1 3) (pow (* (* b b) 4) 3))) (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4))))) (* (+ (* 1 1) (+ (* (* (* b b) 4) (* (* b b) 4)) (* 1 (* (* b b) 4)))) (* (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) (- (pow 1 3) (pow (* (* b b) 4) 3))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (155 enodes)